#geometry-and-trigonometry

1 messages · Page 26 of 1

dense ibex
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struggling so hard

lime crownBOT
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Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, and no one person can be prioritized over other people, so please patiently wait. Anyone who chooses to help you is a volunteer who is doing so out of their own kindness.

dense ibex
#

oh

hard garnet
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anyone ever seen this "Find all the solutions to the equation a^2 +(b^2)+c^2+(d^2) = (e^2), in integers a, b, c, d, and e."

lament tree
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was cavilieri's principle rigorously proven before calculus?

woven folio
lament tundra
idle thicket
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I forget how to do this stuff

tepid oyster
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I cannot read anything can you get better quality

timber cargo
smoky jetty
timber cargo
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They clearly shouldn't be

smoky jetty
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eh, apple's business strategy

strong vault
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Hey could anyone help me

dark sparrow
strong vault
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@sullen nimbus I’m doing geometry and having to find the value of angles without a protractor

sullen nimbus
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Wrong Ann

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;-;

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But I mean I can help you

dark sparrow
queen knoll
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hi does anyone want to help

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i can't find x after 11/12x=11/x

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😭

smoky jetty
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u can think of point M as an enclosed point of rays GE and OE. So if you draw ray EM, u can try and see their relationship regarding angles

limpid oracle
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i dont get it

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i know that multiplying a complex number by exp(I * theta) rotates its theta but it still doesnt make sense

lime summit
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use the fact that e^(i * theta) = cos(theta) + i sin(theta)

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it this case it is 1/2 + i sqrt(3)/2

limpid oracle
pliant current
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I'm trying to learn complex numbers what books recommend?

upper karma
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why does geometry suck

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worst math class i ever took

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why tf i gotta prove a triangle is a triangle when its got 3 sides

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anyways i need help

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i got a fat test on monday on transformations and i still dont know the pattern for rotations

upper karma
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like grade?

pearl moon
upper karma
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10th

foggy parcel
upper karma
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geometry is pointless

lyric sonnet
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not true

upper karma
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if ur getting a job that needs geometry then sure

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otherwise it rlly is pointless

autumn thistle
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bah dum tss

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anyway

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my problem

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is this

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individual question:

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  1. Theorem Reflexive Property of Congruence for Angles:
    Given: ∠A
    Prove: ∠A ∼= ∠A
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im like

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oh ok

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well the measures are equal so there

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NO

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gotta do it like this

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1: Theorem All right angles are congruent:
Given: ∠A is right, ∠B is right
Prove: ∠A ∼= ∠B
Proof:
m∠A = 90º (definition of right)
m∠B = 90º(definition of right)
m ∠A = m∠B (substitution property of equality)
m ∠A ≡ m ∠B (definition of congruent)

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so

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yep

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yeah

weak oar
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If i say some shape is a rectangle given some statement. Then say that because this shape is a rectangle by definition, another statement is true. Are any of these converse statements?

gentle haven
pseudo nebula
weak oar
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So would I say converse of a definition a rectangle

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?

pseudo nebula
weak oar
pseudo nebula
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Honestly not sure the wording

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I always just wrote rectangle implies ...

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but ig that doesn't make sense

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definition of rectangle implies?

opal girder
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hey can anyone help

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i asked in a competiiin math amd channel 49 so please help

grave pond
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The central angle theorem gives you angle ECD, and angle CED is right by Thales's theorem

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From there it seems to be just a matter of chasing angles in the various triangles.

opal girder
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could you show me work please because idk what thales theorem is is

grave pond
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Please don't crosspost in mutiple channels, though.

opal girder
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ok i didnt know

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sorry

grave pond
opal girder
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oh thank youi get it now

lapis vault
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is trig after algebra 2 or after geo

slow spruce
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algebra 2

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But you'll probably learn Pythagoras' Theorem and SOHCAHTOA in Geo

lapis vault
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k

spring escarp
fickle rose
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can anyone help in my channel?

snow crystal
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guys what are the properties of a triangle overscribed on a circle?

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if I do something like this, in what ratio are the equal sides divided by the tangent points?

grave pond
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If you also draw lines from the center to the vertices of the triangle, you get some right triangles that you can do trig on. (Note that those new lines bisect the angles of the triangle).

snow crystal
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hmm, I'm not even sure if I'm asking for the right thing

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basically I'm trying to find the equation of the circle inscribed in this triangle

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I know that the triangle is isosceles and I also know the coordinates of its vertices

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but idk what to do next

grave pond
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So what you want is to find the incenter of the triangle. You do that by intersecting two of its angle bisectors.

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Alternatively, as a shortcut for this particular situation, you know the incircle will be tangent to the short side at its midpoint -- that is where the bisector you already have meets it.

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So the center of the incircle must be at the point on y=2-x/2 whose distance from (2,1) is the same as its distance from the line y=3.

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You can write both of these distances as a linear function of, say, the x-coordinate and set them equal to each other.

snow crystal
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But how am I supposed to use this information

snow crystal
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it's equal to $\frac{5-\sqrt{5}}{2}$

somber coyoteBOT
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IamMax420

snow crystal
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but I still don't know how to find the coordinates of the incenter

grave pond
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If you have the right inradius, then you know the incenter is on both of the lines y=2-x/2 and y=3-r.

snow crystal
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I calculated the area of the triangle and it's perimeter. We can evaluate the area of a triangle overscribed on a circle with the formula A=(half of the perimeter)(radius of the inscribed circle)

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that's how I got it

grave pond
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Huh, I didn't know that formula, but it looks legit now that you state it.

snow crystal
grave pond
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The numerical value of your radius looks like it's in the right ballpark for the diagram, too. And with a slope of -1/2 involved, having a sqrt(5) somewhere is par for the course.

snow crystal
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Ok I figured it out, tysm

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though I didn't use the information you told me

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I basically substracted (radius) from 3 to find out on what height is the incenter situated

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and then set it up to -x/2 + 2

grave pond
snow crystal
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oh right lol

opaque rock
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I want to clear my doubt

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In q3 Because if pq ll ab then by bpt aq/qc=bp/pc .....(i)
And rp ll ac then again by bpt br/ra =bp/pc ....(ii) then by i and ii aq/qc=br/ra and by converse bpt bc ll rq but the diagram doesent agree

upper karma
snow crystal
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geometry ofc

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but it's all solved now

bright isle
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man that's easy

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in india a 10 grade student can do it

merry parrot
bright isle
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nothing.

bold whale
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what channel

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should that be in

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is it in the right one

hasty stratus
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Can someone help me with Geometry (Segments and Congruence)

late kraken
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Maybe

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Idi

hasty stratus
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It's my first time learning Geometry and I don't understand anything.

late kraken
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Idk

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Geometry sucks ass

hasty stratus
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I know

late kraken
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Ok lets see if i know what im doing

hasty stratus
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It pisses me off and I am on my 3rd lesson starting Tuesday. I have a test tmrw on Segments and Congruence.

late kraken
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Oof

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So whats the specific problem

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If there is one

hasty stratus
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Problem: On RT, RS=2x-8, ST=3x-10, and RT = 17. Write an equation in terms of x. Solve the equation. Then find RS and ST.

late kraken
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Ah

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So what do you know about this problem

hasty stratus
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I am so confused lol

late kraken
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Itll be helpful to write what you know on the diagram

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So write above RS, 2x-8 etc

hasty stratus
late kraken
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Dont forget the 17 below (or above either way, i prefer below so it doesnt get crowded)

hasty stratus
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Where did you get 17 from lol

hasty stratus
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Oh yeah

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Ok I placed it below RS

late kraken
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Good

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Now

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We know S is the middle point correct?

hasty stratus
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Yes

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Can we go in a call?

late kraken
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Uhh sure

hasty stratus
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Ok

late kraken
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Idk where the call is tho

hasty stratus
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Oh DM’s maybe

late kraken
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Sure

warm goblet
# bold whale

calculate the gradient by y2-y1/x2-x1 then u see the y intercept is -6 bc the x axis is set at 0 so then just substitute the gradient and x axis into the equation

upper karma
#

For finding a midpoint between two undisclosed variables on a number line, can I use (b-a)/2 or still (b+a)/2

upper karma
#

Ohhh ty

toxic pier
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i need to copy the exact intersecting line segments

little owl
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for the third time? thonkzoom

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draw line, make a mark
copy one segment 1 arc
copy one endpoint of other segment 2 arcs
copy other endpoint of other segment 2 arcs

onyx relic
# bold whale

step 1: find slope of the line (y2-y1)/(x2-x1)
replace in
(y-y1)=m(x-x1)

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where m is slope

crisp pawn
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quick question cos^2(2x) = 1/2(1 - cos(4x)) half angle formulas?

azure anchor
opal girder
crisp pawn
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was wondering what happens if it is cos^2(2x)

jolly slate
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Making equations for desmos is very difficult isn't it? I can't even figure out how to make a stretched semicircle

coarse fossil
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yall how do i find weighted averages

naive jackal
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can anyone help me with these questions?

upper oracle
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For the first blank haven’t gotten to that yet lol

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2nd question is ez lol I’m literally doing hw on that exact thing rn

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  1. Corresponding
  2. Vertical
  3. Alt interior
  4. Alt exterior
  5. Supplementary
jaunty spruce
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can someone help me with this cos graph function? i don't understand how is the amplitude -6

mystic charm
wind tree
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hey I have a question. is cos^2(2x) equal to (cos^2 (x) - sin^2(x)) ^2?

visual totem
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Can someone solve this

upper karma
olive condor
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ive just started geometry as someone in 8th grade, and i need tips on how to memorize what sin, cosin, tan is easiler

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tysm, have a great day

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ill remember that

maiden brook
unkempt siren
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Let O be an octagonal prism defined such that each of its faces contains regions both transparent and opaque. For each adjacent pair of octagonal faces:

(i) An arc originates at the bottom vertex of one face, and concludes at the top vertex of the diagonally opposing corner on the adjacent face.

(ii) Symmetrically, from the second face of the pair, an arc commences at the top vertex and terminates at the bottom vertex of the diagonally opposing corner on the first face.

This configuration produces a series of parabolae, each spanning two contiguous faces. The region situated above each such parabola is opaque, while the region beneath is transparent.

Let the octagonal boundary of the prism's height be denoted by P, with its variable radius as r.

Problem 1: Deduce a function, f(P), that determines the set of points on P from which an observer, looking perpendicular to P, perceives the opaque regions of the prism exclusively through the transparent sections within a 120-degree field-of-view.

Problem 2: Investigate the behavior of f(P)with respect to variations in the radius r of the octagonal boundary P. How does f(P) evolve in response to changes in r?

unkempt siren
halcyon glen
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Could someone please explain?

trail mirage
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Pls Someone help me I’m lost and stuck

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Ik it’s probably ex and I’m over thinking it

smoky jetty
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u have any idea regarsing law of sine and cosine?

upper karma
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yes there isn't a different slope

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just a different translation

trail mirage
crystal marsh
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Can someone help me with these 3 questions im stuck on?

hasty ravine
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Did you try swapping the the x & y values of each point?

crystal marsh
hexed raven
elder quartz
#

uhhhhhhhhhhh

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nah

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i dont think so'

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they are curved

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honestly idk

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if 2 curved lines like that are parallel

little geode
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could you guys help me

elder quartz
visual totem
upper karma
#

In terms of sin n theta

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Where n is an integer

visual totem
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oh right

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thanks bro

frail frost
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really failing to grasp angles. i passed alg1 with ease but i’m struggling with geometry

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mainly question 7

delicate loom
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Pretty good basis, should still be required in public schooling

cursive agate
upper karma
cursive agate
cursive agate
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Fair lmao

unkempt zodiac
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Can somebody privately dm me and help me? I am currently a sophomore and we are doing two column proofs and I don’t rlly understand.

unkempt zodiac
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Anybody?

fickle rose
#

thats the simplest way i can explain it

fickle rose
# frail frost really failing to grasp angles. i passed alg1 with ease but i’m struggling with ...

think about the 2 smaller angles inside angle lpr. you already know the value of one of them so use that to find the measure of angle lpe

we know that angle tpa is vertical angles with angle lpe, which means that they are the same measure. remember that apr is a linear pair with epr, and we know the value of angle epr, and angle tpa. use this to find tpr

i explained tpa above.

angle tpe is vertical angles with apl. you have angle tpe by doing simple addition.

unkempt zodiac
unkempt zodiac
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Yea but we don’t get to write all of them

fickle rose
fickle rose
unkempt zodiac
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Let’s say we learn ten theorems we can only have eight in the theorem sheet

fickle rose
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well talk in it

unkempt zodiac
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K

halcyon glen
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Could someone please explain?

merry chasm
#

I got a decimal is that my fault??

zealous vessel
merry chasm
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Yes???

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Uhm well so I put

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3x + 5 + 3x + 5 + 2x = 180

zealous vessel
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,calc 170/8

somber coyoteBOT
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Result:

21.25
zealous vessel
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was that your answer?

merry chasm
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Yeah

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But I don’t think I am supposed to have decimals

zealous vessel
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was there some constraint saying you can't have decimals?

merry chasm
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No but

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We also haven’t had decimals

zealous vessel
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Well from what I can see, 21.25 is the answer, it's mathematical so you can prove it : )

merry chasm
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Okay!

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Well I was just unsure because we haven’t had any problems which had have decimals

flint marlin
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Help?

frozen ocean
#

,rccw

somber coyoteBOT
frozen ocean
#

do you know what is the area of trapezoid?

flint marlin
#

(Ab+dc)/2 × h

frozen ocean
#

[A=\frac{a+b}{2}h]

somber coyoteBOT
#

Akira 🍉

maiden brook
teal talon
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2(4)^2 = AB^2

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32 = AB^2

lament tree
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reading old math texts is really confusing cus of the lack of recent notation

royal bear
#

oh god...

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geometry, my enemy

violet kiln
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Same

carmine ore
#

when solving for theta,
1 = tan theta, doesn't this have multiple solutions for theta?

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err

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actually isn't is just root 2 / 2 / root 2 / 2 = 1?

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so tan is 1 when cos and sine are root 2 / 2

lyric sonnet
silent plank
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that's only one case, and even then there are infinitely many values of theta where sin and cos theta are sqrt(2)/2

zealous vessel
#

Wait even though sin and cos have period of 2pi they also have two solutions for any given value right?

young kestrel
#

Yeah dawg i need help bruh

shut barn
#

hello

vagrant tendon
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what is the answer to this

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pls help

vagrant tendon
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what is answa

frozen ocean
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but we are here to help you

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what's the question asking?

vagrant tendon
#

Idk they werent specific

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All i csn rlly say

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Somehow

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It adds to 180

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But x aint 60

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Im working it rn so ill ask if i need helo but thx

frozen ocean
#

isn't the question asking to find the angle x?

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try adding 180 and subtract the other angles on the angles given

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you should be getting your x

icy cobalt
smoky jetty
zealous vessel
#

$$sec(x) = \frac{tan(x)}{sin(x)}$$ right?
But $$tan(0) = 0$$ and $$sin(0) = 0$$ and $$\frac{0}{0} = undefined$$
and yet $$sec(0) = 1$$
How?

somber coyoteBOT
storm escarp
#

it is the same as tanx/sinx everywhere except for where sinx is 0

zealous vessel
#

Why is that, like algebraically that seems contradictory

storm escarp
zealous vessel
#

I think I should post it as a question in the forum but I don't see any chance of attention being drawn to that 😐

queen prairie
timber cargo
#

Well technically that would be tangent(gerine)

ember urchin
#

Three people are pulling on a stuck object at the same time. Once the object gets unstuck, draw the vector path that the object will follow. Below is the diagram of the forces the people are placing on the object

frozen ocean
lime crownBOT
frozen ocean
smoky jetty
#

if in intercept form (i.e (x/a)+(y/b)=1 where a= x intercept; b=y intercept) y/b is negative, does it automatically means y intercept is negative? tho its slope intercept form says it is negative

frozen ocean
#

depends on equation if it's positive or negative

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but yea since you're saying it's negative then negative

smoky jetty
#

alright thanks!

gentle haven
#

Is #3 asking for the midpoint of the first two things as if they were in a number line

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Like the average

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And the 2nd part of it makes no sense to me

pearl elk
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did i do it right or am i missing something

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sorry for bad hadnwriting

maiden blade
#

I’ve never been so confused in my life

strong gorge
weak oar
# maiden blade I’ve never been so confused in my life

You know that the whole angle of should be 180 right. So you are given that there is a 90 and 46 degree angle. Together they make a 136 degree angle. Meaning you have q-3=180-136. This simplifies to q-3=44. Add 3 you get q=47.

zealous vessel
#

Is the fact that all trig functions can be represented as slopes of lines a trivial fact?

mortal sundial
#

i an not sure how to answer these questions would love it somebody could help me answer them

lime crownBOT
#

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

zealous vessel
lime crownBOT
fickle rose
mortal sundial
#

!help

lime crownBOT
#

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

zealous vessel
mortal sundial
#

ok cool cheers mate

upper karma
#

hi, does someone know in which yt video I can learn this?

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or the name of the topic

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and also things like:
sen80º = cos10º
I get why, but I want to watch a video about it and know the name of the topic to save the notes in a page with that name

zealous vessel
upper karma
zealous vessel
#

ah ok, I didn't account for the language part : |, anyway happy to help

vague vortex
#

so close to crying can someone help

granite hollow
#

m<D = 108

foggy parcel
lime crownBOT
# granite hollow m<D = 108

As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

fickle rose
#

use parallel lines to figure it out, or use any of the properties of a parallel organ (opposite angles are congruent and consecutive interior angles are supplementary are some that should work)

frail frost
#

was not in school when we learned this and i have a quiz today on it

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please break it down and tell me if my answer to 20 was right

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if 20 is right i understand it and only need to know how to do 21

silent plank
#

q20 as written doesn't make much sense

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for q21, you can apply stuff like pythagorean theorem and/or distance formula
(effectively the same thing)

smoky jetty
#

idk if these are shortcuts but they're unclear

fickle rose
#

135 is the measure of one interior angle

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ur adding the measures of 2 interior angles which should equal 270 not 135

smoky jetty
fickle rose
fickle rose
#

how to get help in this server. been asking for help requests periodically for the past 4 hours for the same math question and not one response, meanwhile the person who comes in right after me gets a response instantly from someone else

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is there some sort of way where u can get help when no one has responded for several hours

smoky jetty
#

u could ping @ helpers there once, after 15 mins of no response afaik

regal scarab
#

We have started with Unit circles, but I am extremely confused. I simply cannot understand what the numbers mean and the textbook did not provide any background information, simply threw me into the deep end. Does anyone have any good sources that explain (preferably visually, fine if not) from the ground up, the knowledge i need to start learning about Unit Circles? I do not know how to research it and the videos/articles I have found go off of the same assumption that I simply know some information before-hand

zealous vessel
regal scarab
deep ruin
#

An equilateral triangle ABC with side 3 is inside in a circle point D lies on the arc AB doesnt have the too find BD and CD.

frail frost
frail frost
#

are vertical angles sometimes never or always supplementary

smoky jetty
#

afaik vertical angles are formed by the intersection of 2 distinct lines, so they are never supplementary?

frail ridge
#

I have this open box

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How do I solve for the middle square in the cross figure?

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I can find the length of most edges of the cross figure, except for the furthest edges

smoky jetty
#

i kinda not get your diagram, but maybe try pythagorean

inner vapor
#

someone help me with this geometry question

smoky jetty
#

which site do u make those symbols stuff on an image?

smoky jetty
#

hey guys so I was learning how area of triangle on a coordinate plane is derived, and I was able to understand the processes and concepts involved. upon simplifying the terms (encircled green), I got the ff. terms on the 2nd image. However, idk how i could simplify it further to get the final terms (encircled red) below the 1st image. I tried observing it and got a sensible idea, but idk the formal name of the process(i kinda suck in algebra oof)

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so uhh how do I simplify the 2nd image further by following a formal process (that idk rn) to get the encircled (red) temrs below?

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I found another quicker method to derive the area of triangle, called determinant and thought it was quite similar to shoelace method, but I wish to know this one first, lol

slow spruce
#

What axiom or theorem do I need to prove if the vertex is on the edge of the circle, the angle is half the arc?

smoky jetty
smoky jetty
#

nvm it was a simple factorization that i didnt know, lmao

round remnant
#

Demonstration of the half-angle formula in trigonometry

upper karma
#

Are there any of you that have learned Trigonometry by using predominantly the degree measurement ? Anyway, that's what I've seen in a High School near, and thought it quite bizarre.

surreal escarp
#

Does my math make sense

foggy parcel
#

U r right

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@quartz horizon

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Opps

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@surreal escarp

wraith harness
fickle rose
junior verge
#

hello

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i had a question on a quiz yesterday that told me to give a counter example to this conjecture

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a^2 < b^2

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a<b

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so i said

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3^2 < (-5)^2

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3 > -5

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did i get it wrong or right

silent plank
#

you'd probably need an additional line and some words to go with what you're writing for full marks

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3^2 < (-5)^2
according to the conjecture,
3 < -5
which is false since 3 > -5

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(also not geo/trig)

junior verge
#

thanks for telling me

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i didnt put words cuz i thought counter examples needed tp be very specific and limited to numbers

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im stressing about that question ngl

jagged venture
#

Need some help with this one guys

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The equilateral triangles ADF and BCE are constructed outside the square ABCD. If DE intersected by CF = G show that triangle ABG is equilateral

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Pretty stuck

gray girder
#

because the height of an equilateral triangle within a square where the triangle and square share a side is always going to be 7/8ths of the side length of the square?

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idk if that really shows it though

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cuz you don’t actually know any values

modern thicket
# junior verge a<b

I think its a mistake in this line, because if we dont know a is more or less than 0, we should write sqrt. a^2 = module of a

modern thicket
junior verge
#

im kinda stupid can you explain it simpler lol

modern thicket
# junior verge wdym

before i write why its a mistake in question, because sqrt. -5^2 != -5, right?

junior verge
#

no i put paranthesis

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then

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(-5)^2=25

modern thicket
junior verge
#

im so confused sorry

modern thicket
#

sqrt from negative number in square is equal to module of this number, may be its my mistake, but i know that sqrt can be only positive

junior verge
#

yeah

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the sqrt i put was equal to a positive number

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which was 25

modern thicket
junior verge
#

look

junior verge
modern thicket
junior verge
upper karma
#

can someone help me w this

smoky jetty
#

Ever heard of the cosine function? Cos x = (adjacent side/hypotenuse)

upper karma
dire snow
#

In the trapezoid ABCD, from the midpoint L of the diagonal AC draw the parallel to the bases, which meets the diagonal BD in P and AD and CB in E and F respectively.

Prove that LP (AB-CD).

#

I don't know how can I find it lol

smoky jetty
round remnant
#

How much geometry would you learn from reading Euclid's elements?

grave pond
#

It would get you all the way up to the state of the art as of about 300 BC.

smoky jetty
#

you're given angle 71, so as a reference to its cosine function we get the ratio = 6.3cm/CB
cos 71deg = 6.3/CB(isolate CB)
CB cos 71deg = 6.3
CB (cos71deg/cos71deg) = 6.3/cos 71 deg
CB = ?
from here u can put it in a calculator to find the approximate value of CB

#

u can also refer to its secant function

upper karma
#

question

Consider the rhombus $ABCD$ with centre $O$, with $\angle DAB < 60°$ and the equilateral triangle $ABE$ so that the points $E$ and $D$ are on either side of the line $AB$. The center circle $E$ and radius $AB$ intersect the line $AC$ at the points $F$ and $A$, and the line $BD$ at the points $G$ and $B$. Prove that the centres of the circles circumscribing triangles $EBA$, $FBD$, and $GCA$ form an equilateral triangle.

idea

We see that $\angle BGA*2=\angle BEA=60$, which means that $\angle BGA=30$

Because $ABCD$ is a rhombus, the diagonals are perpendicular $=> \angle GOA=90$

Using the 30-angle theorem we can simply show that $OA*2=GA=CA$

Because $OG$ is the perpendicular but also the median of the triangle $GCA =>CG=GA $

From the congruences, we can show that $CGA$ is an equilateral triangle.

WE can show that $B$ isn't the center of the circumscribing circle, because $OA^2=OB*OG$, which makes $BG=3k$ and $OK=k$

We also know that triangle $DFB$ is isosceles.

ALSO $BFAG$ is an writable quadrilateral

I don't know what to do forward. Hope one of you can help me! Thank you!

somber coyoteBOT
#

Ionela

dire snow
upper karma
upper karma
dire snow
#

Ook

upper karma
#

You just have to use the theorem of the middle line

#

EL*2=DC

dire snow
upper karma
#

PF*2=DC

upper karma
#

Do you understand?

upper karma
dire snow
#

Wait

frail frost
#

how do i get better at geometry when we dont have a textbook and my teacher hates teaching?

polar jewel
#

hey

brittle fiber
#

can anyone help me in this

orchid forum
#

why doesnt geogebra give me an answer

#

the syntax looks correct

slate pewter
#

$1+\dfrac{2}{3}\simeq 1.667$ test

somber coyoteBOT
#

Yui Hirasawa

slate pewter
#

oh nice it worked

#

SOOOOOOOOOOO

#

i got sick and for a week and missed school when i came back they were doing this kind of dark magic
i am in a turkish school and tbh the turkish lessons arent helping so i was thinking if yall can just tell me where i can learn this or , what is the name of this subjects the only thing i know is that its related to trig

#

$\dfrac{\sin ^{2}\left( x\right) }{1-\cos \left( x\right) }\Rightarrow \dfrac{1-\cos ^{2}\left( x\right) }{1-\cos \left( x\right) }\Rightarrow \dfrac{\left( 1-\cos \left( x\right) \right) \cdot \left( 1+\cos \left( x\right) \right) }{1-\cos \left( x\right) }\Rightarrow 1+\cos \left( x\right)$

somber coyoteBOT
#

Yui Hirasawa

slate pewter
#

or something like this

$\dfrac{\dfrac{1}{\sin \left( x\right) }+\dfrac{\cos \left( x\right) }{1}}{\dfrac{1}{\cos \left( x\right) }+\dfrac{sin\left( x\right) }{1}}\Rightarrow \dfrac{\dfrac{1+\cos \left( x\right) \cdot \sin \left( x\right) }{\sin \left( x\right) }}{\dfrac{1+\sin \left( x\right) \cdot \cos \left( x\right) }{\cos \left( x\right) }}\Rightarrow \dfrac{\cos \left( x\right) }{\sin \left( x\right) }\Rightarrow \cot \left( x\right)$

somber coyoteBOT
#

Yui Hirasawa

smoky jetty
#

u can try khan academy in particular, but i suggest referring to an online textbook as well for supplementary definitions/concepts

dire snow
orchid forum
#

why does this happen

errant beacon
#

1 + cot^2 if sin=1/3 is 13/9 right?

#

that's what i got

upper karma
#

yes

upper karma
upper karma
hollow osprey
#

how would you solve for z?

upper karma
#

180-x bcoz it's a cyclic quadrilateral

#

t = 44 btw

#

kite property or sm

smoky jetty
# hollow osprey

u can refer to central and inscribed angles theorem, or property of cyclic quadrilaterals

#

or possibly other ways

night mist
#

how does one calculate sin(2x) = 0.2197?

#

this is part of a physics problem but i cant for the life of me remember how to solve a simple thing like this

#

i suspect i can just do:

sin2θ = 0.2197
arcsin(0.2197) = 2θ
2arcsin(0.2197) = θ```
sinful forge
#

Can somebody lend a hand with this question

raw tusk
#

Hey everyone, I want to know why in an equation sinx-sin3x=0 I can't just do:
Sinx=sin3x
X=3x

I know this is wrong, but why exactly?

night mist
toxic edge
#

Is x 50m or 121m? Or none?

somber coyoteBOT
#
Personal LaTeX configuration.

​ ​ ​ ​ ​ ​ autotex: Disabled (may be overriden by guild settings)
keepsourcefor: Don't delete source (may be overriden by the guild)
​ ​ ​ ​ ​ ​ ​ colour: Using the grey colourscheme
​ ​ ​ alwaysmath: Disabled
​ ​ ​ alwayswide: Disabled
​ ​ ​ ​ namestyle: DISPLAYNAME
autotex_level: WEAK

To see more detailed information use ,texconfig <option>.
To set an option use ,texconfig <option> <value>.

Preamble

No personal or guild preamble, using the global default preamble.
Use ,preamble to view or modify your preamble!

#

You have switched to the darkgrey colourscheme.

cedar flower
#

Sorry, my mistake, I thought I was writing in my private chat with TeXit

smoky jetty
#

i forgot how to solve this one easily, but I did some angle chasing and extended the segments' length and got an answer quite far but <50m

smoky jetty
#

||~33.32m||

toxic edge
smoky jetty
#

yeah

toxic edge
#

Can you show the solution? This was a test task

#

And we (the class) are quite divided between 50 ish and 121

smoky jetty
# smoky jetty yeah

i assumed that this side is equal to 15m + x, otherwise my solution is nothing but fallacy

toxic edge
#

Yes you are right on that

smoky jetty
#

yall got diff answers?

toxic edge
#

Yeah we quite divided

smoky jetty
#

yall haven't gotten the aswer key yet?

toxic edge
#

My priv teacher says its 53 ish

smoky jetty
#

oh

#

lemme grab my notes real quick

#

im certain theres a much easier way to find that

#

realative to what i did which was just overkill i'd say lmao

toxic edge
#

Oh wait i think im dumb

smoky jetty
toxic edge
#

Just get the hypothenuse of small triangle using theorem of sine and then just sin (58deg)

#

sin 58deg = x/hypothenuse

smoky jetty
#

whats your hypotenuse's value?

toxic edge
#

Im on train rn

#

But lemme figure, 1 sec

smoky jetty
#

alr alr

opal ermine
#

im supposed to find the value of NP, does my math check out? just started learning abt this so not sure and its messy

toxic edge
#

Around 62.6

opal ermine
#

that’s what NP equals?

smoky jetty
opal ermine
#

could u explain to me how u got it

#

oh mb, wrong person

smoky jetty
toxic edge
#

The hypothenuse

#

And then my x came out to be around 74

#

I am beyond confused

royal bear
#

where do we get the reasons for Euclidean geometry

toxic edge
#

Sorry for bad writing, gggyeah, not easy to write on a lap while in train

royal bear
smoky jetty
smoky jetty
#

whoops I had a small but impactful arithmetic error earlier lol

#

but heres my improved/more accurate solution

#

and yeah the answer is ~53@toxic edge

toxic edge
#

Ah rip

#

Dont got the perfect score :(

smoky jetty
#

i hope u dont get overwhelmed by the amount of equations there, I just elaborated them to show how I approached the problem. Should be easy if u know properties of quadrilaterals

smoky jetty
toxic edge
#

Yeah most likely

smoky jetty
#

ohh dang

#

does your teacher have a simpler approach to it?

toxic edge
#

No idea, will find out on thursday

smoky jetty
#

i see

#

what grade u on?

toxic edge
#

11th

#

School edu consists of 12 grades

#

And then uni obv

smoky jetty
#

oh, im in 10th

toxic edge
#

Yeah, education systems differ a little bit

#

There should be a united one

smoky jetty
#

lol

toxic edge
#

Still hoping for a 9/10 tho

#

Or at least 8

#

A mini test task had the same points as this one

smoky jetty
#

what topic was it in?

toxic edge
#

Trig

#

Quite basic stuff

#

I was prepping like 2 hours previous day

#

And i overprepped

smoky jetty
#

u should practice problems with increasing difficulty

toxic edge
#

I did that

#

Here we have a website with like tasks

#

An actual cheat code

#

And i went thru ALL the tasks

#

Got 89%

#

100 ish tasks

smoky jetty
#

wow, may I see the problems?

toxic edge
#

They differ in difficulty

#

Some take 10 seconds

#

Others like 3-7 minutes

smoky jetty
toxic edge
#

Yeah this is Maths I

#

Non intro would be probably Maths II

smoky jetty
#

I wish u good luck!

toxic edge
upper karma
#

i would like a beginner textbook on geometry, with pdf

upper karma
upper karma
upper karma
#

or

#

there is an author named rd sharma

#

his book for maths 2d is good too

upper karma
#

yeah

#

textbook with theory

#

solved examples

#

and practice problem

#

alright

#

thanks

#

u can get the pdfs online easily

#

for free

#

so yeah

stable jay
#

Are there any convenient ways to find the radius of a circle given 3 points?

upper karma
#

maybe if u show me figure

#

i can help

#

or else general method is if u have like three points

#

make sure one lies on the centre

#

and other 2 lie on the circumference

#

then u use distance formula

#

and find out the lengths

#

then u can see if ur getting the radius as same

upper karma
#

i made this math thing that uses cos and sin after learning about them

#

it uses scratch

upper karma
#

I am trying to solve a problem, this... A is a variable point belonging to P, where P is defined by (x-1)^2 = 8(y+1), with abscissa λ, λ belonging to real numbers. Line S is parallel to the x-axis through point A, and line T is defined as x = λ-1. The intersection between T and S is M. Find the locus (geometric locus) of M." how I should start it, I am two hours on in it and I don't understand it

lavish dew
#

Planter Box Project

You are building a rectangular planter box. The designer gave you the following instructions:
a) The top of the box should have sides parallel to 2x+3y=6. Since it is a rectangle, you know
that the other sides should be perpendicular to the given line
b) Two of the vertices are given as C (7,0) and E (3,7)
c) The rectangular box has a height = 3 feet.
d) Each side is made of concrete with thickness of 2 inches
e) All length measurements are in feet
f) The volume of a rectangle =lengthwidththickness

  1. Find the equation of the lines that represent the sides of the top portion of the planter box
  2. Find the missing vertices
  3. Draw a sketch, by hand, of the top rectangle on a coordinate grid and another sketch of the box
  4. Find the perimeter of the top rectangle. Round to the nearest hundredth.
  5. Find the volume of the concrete in each side of the rectangle
  6. If concrete costs $5.25 per 6 cubic feet, how much does the box cost?
  7. It was mentioned in the instruction that the diagonal of the top rectangle makes an angle of
    2x+3 with the shorter side. Write an equation to represent the measure of the angle formed
    by the diagonal with the longer side.
  8. If the angle formed by the longer side and the diagonal is 52 degrees, find x
  9. Use Google Slides to represent your work and post it on your e-portfolio.
#

someone please help this is due tomorrow as an exam grade

frail wind
#

hey, my geo teacher doesnt rlly teach and he doesnt give hw, although i find it to be frustrating i helps a lot, any websites to use for preactice? or mabey a book with problems to do?

lavish dew
#

youtube

frail wind
#

true

unkempt finch
#

Can someone lend me a hand with this question

shut quartz
#

which one

unkempt finch
#

Both

shut quartz
#

ok um i can barely read it that and the fact that i need glasses

solar heron
#

A ship sees a whale at 10 degrees. After 10 minutes the ship sees the same whale at 50 degrees. The height of the boat is 100m. Find the mph of the whale.

solar heron
#

im stuck on this probkem for 2 hours

#

pleae help

woven shoal
solar heron
#

i tried

#

here ill show a pi

solar heron
#

@woven shoal what u think

woven shoal
#

The 10 comes after.

#

The 50 degree angle comes before.

solar heron
#

?

#

why would that be

woven shoal
#

You see, logically speaking...

#

That 10 degree angle you made.

#

Is bigger than the 50 degree angle.

solar heron
#

it was not meant to be drawn to scale

woven shoal
solar heron
#

the ship sees the 10 degree angle before the 50 degree angle

woven shoal
#

If you see something at a 10 degree angle, and then at a 50 degree angle

#

Did it come closer

solar heron
#

no it went furtthe

#

thats what im asying

#

cause the whale went further from the ship

woven shoal
#

It didn't go further.

solar heron
#

yes the whale went away from the ship

woven shoal
#

Well then your angles are drawn wrong

solar heron
#

and we r supposed to find the mph of the whale

woven shoal
#

Its not written so

solar heron
#

so how would the diagram be

#

could u draw it then

woven shoal
#

The whale is coming towards the ship from what I understand

solar heron
#

no

#

i dont think ur understanding the question

#

the whale is going away from the ship

#

regardless the question is not regarding that

#

it says

#

after 10 minutes

#

it sees a 50 degree angle

#

therefore we can conclude that the whale has moved away from the ship

#

right... @woven shoal

#

that 10 degrees is not to the whale

#

thats the degree to the base of the ship

#

we arent trying to find that

woven shoal
#

Degree to the base of ship?

#

The observer would sit on top of the ship

#

So he would look down

solar heron
#

yeah look to do the whale not to the base of the ship

woven shoal
#

Well wait

#

One min

solar heron
#

hold on

woven shoal
#

mb

#

Now I don't know if it's 10 degrees from the horizontal or the vertical

solar heron
#

hortizontal

#

because these are equal

woven shoal
#

Alr so still.

#

Where would the 50* be

solar heron
#

ill show u

woven shoal
#

Nearer to the ship, or farther.

solar heron
#

farther

#

because the angle has increased

#

ok how about this

#

like ill give u a real life example

#

if you and ur friend were standing on ground level

#

and you guys are looking straight at eachother

woven shoal
#

Bruh.

solar heron
#

and then ur friend climbs up a hill

#

and you look at him

#

he is farther from you now

#

does the degree from you looking at him increase or decrease

woven shoal
solar heron
woven shoal
#

Seriously.

woven shoal
#

You're measuring the angles from the horizontal

#

The ten degree angle is smaller

#

So the line at a 10 degree angle is gonna be going further ahead

solar heron
#

which side represents the ship?

woven shoal
#

Left.

solar heron
#

let me edit ur image

#

it dosent matter which angle is bigger @woven shoal

#

first you see the 10 degree angle

#

and then you see the 50 degree angle after 10 minutes

woven shoal
#

It does matter for your understanding

#

But yeah okay

solar heron
#

yeah

#

so continue

#

how do i find mph

woven shoal
#

Now use some trigonometry

#

To find the bases

#

Of both right angled triangles.

solar heron
#

i already did

#

ill just give u the angles

woven shoal
#

The difference will give you the distance travelled.

solar heron
#

i mean

#

why is the difference

#

shoudnt it be the sum

woven shoal
#

Why the sum?

solar heron
#

because the total distance travlled was the 10 degree and the 50 degree

woven shoal
#

It was FROM the 10 degree TO the 50 degree (according to you)

solar heron
woven shoal
#

This diagram is gonna give me a headahce.

#

Its so wrong

solar heron
#

ok then u do it

woven shoal
#

Whats that 576 128

solar heron
#

the side length

woven shoal
#

128 is what

solar heron
#

the decimal

#

567.128

woven shoal
#

,w 100 tan(40)

solar heron
#

pi?

#

whya re u using pi

somber coyoteBOT
woven shoal
#

...

#

Now

#

What do you think.

solar heron
#

i got them right

#

no?

woven shoal
#

WHy did you put it as 839

#

No.

#

83.9

solar heron
#

i put

#

83.9

#

🤦‍♂️

woven shoal
#

So tell me now

#

Oh boy

#

How do I make you understand

#

Yk what

#

Lets make a whole diagram

#

As per your way.

solar heron
#

ok...

woven shoal
#

I even lost my mouse now

solar heron
#

..

woven shoal
solar heron
#

perfect

woven shoal
#

Lol.

#

Okay

solar heron
#

so what does BDC stand for

woven shoal
#

Now tell me

#

Wait wiat

#

Dont rush

#

Tell me

solar heron
#

sry

woven shoal
#

What did you find BD as

solar heron
#

567.128 ft

woven shoal
#

Good

#

BC

#

?

solar heron
#

83.9

woven shoal
#

Okay

#

Now for God's sake tell me, if BC is bigger how's it only 83

#

and BD which is supposed to be a part of BC is 567

solar heron
#

um

#

thats a good question

#

shouldnt 83 be just DC

#

not Bc

woven shoal
#

Well you found BC using a right angled triangle

#

Where angle C was 50 deg

#

Doesn't it tell you that you flipped the angles?

solar heron
#

but how would that make sense

woven shoal
#

Or you're still very stubborn

solar heron
#

??

woven shoal
#

I mean just think

solar heron
#

what does stubbornous have to do witht his

woven shoal
#

Wait a min I got something for you

solar heron
#

clearly ur older than me so u understand better

#

im still learning

woven shoal
#

Wait a minute.

#

I gotta use Desmos now

#

You have the undergraduate role.

#

I'm still preuni

solar heron
#

@woven shoal im in 10th grade

#

g

woven shoal
#

It took me 10 mins but I hope it helps you

#

See as that angle gets bigger the base of the triangle gets smaller and smaller

#

@solar heron

solar heron
#

we can do two different triangles

#

it dosent need to be on the same triangle

#

clearly its a problem

woven shoal
#

I mean you need to think

#

Is a 10 degree angle bigger

#

Or a 50 degree angle

solar heron
#

i get that now

#

@woven shoal ok so continue

#

how do we find the distance

#

and why do we subtract

woven shoal
#

Okay now tell me

#

We have to find the distance.

#

Distance means: Final position minus initial position

solar heron
#

yeah and isnt that just the value of the side lenght of 10

#

so 83

solar heron
#

bro yeah im done ur confusing me

woven shoal
solar heron
#

DonutDude | ZT5 Player profile

proper quarry
#

i just joined and im very dumb but hi

zealous meadow
#

do yall know how to solv this

smoky jetty
heavy stream
smoky jetty
#

same thinking, lol

smoky jetty
#

oh right, lemme think

quaint tide
#

maybe it can be solved with a system of equations

#

something makes me feel like a = c

zealous meadow
#

and herons
will giv
5 variables
and 4
quartic equations
tht i aint evn gunna try to slove

quaint tide
#

oh

#

well shi

zealous meadow
#

prolly some elegant way to slove
tht i dont kno

smoky jetty
#

time to be creative, nifty

quaint tide
#

hm

#

print out the question

#

and

#

cut out the triagnles

#

then put each equal side

#

on itself

#

then create a quadrilateral

#

idk

smoky jetty
quaint tide
zealous meadow
#

a=c

#

area of

#

triangle 1

#

shud be = to

quaint tide
#

oh yeah

zealous meadow
#

area of triangle 2

#

by sss

quaint tide
#

ye

zealous meadow
quaint tide
#

h m m m

smoky jetty
#

however from the reflection itself, b's heightto the base of 1st triangle is lower than the 2nd's

#

so a is not equal to c

quaint tide
#

ye

#

ok we can find the height of each triangle

#

hmmm

zealous meadow
zealous meadow
#

ye

#

after tht

quaint tide
#

💀

zealous meadow
#

um

smoky jetty
#

try making a composite shape

#

out of those shapes, and see what u get

quaint tide
#

lets atleast just note down the heights man

#

gotta do something

#

wth those are some pretty goofy heights

zealous meadow
quaint tide
#

Hmmmmmmm

#

@zealous meadow @smoky jetty technically we can join these two triangles by the 90° angles to make a new isosceles triangle

#

Nvm

#

I'm wrong srory

zealous meadow
#

im

#

tryna

#

think out

#

of the box

#

so hard rn

#

help

quaint tide
#

💀

#

I'm trying

#

dude where did you find this question this is hella interesting

smoky jetty
#

is the 2nd triangle a right triangl?

quaint tide
#

Unless there isn't sufficient information then i'mma be hella mad

quaint tide
smoky jetty
quaint tide
#

if it was the question would be a 100 times easier

zealous meadow
#

i searched it on google

#

and only 1 site

#

has the answer

#

but i need to pay

quaint tide
#

how do you search geometry questions on google-

smoky jetty
zealous meadow
#

💀

quaint tide
#

OH

#

SHI

zealous meadow
quaint tide
#

THAT WOULD'VE BEEN SO HELPFUL

smoky jetty
quaint tide
quaint tide
#

brain has stopped working after seeing this question

quaint tide
#

I'll just try the herons formula man

zealous meadow
quaint tide
#

maybe it works

quaint tide
#

gonna be tough

smoky jetty
#

we missed the 4th triangle

quaint tide
#

wdym

zealous meadow
#

so

#

:sk

quaint tide
smoky jetty
#

nvm

quaint tide
#

LMAO

#

Aight I'll go onto herons

smoky jetty
#

eyes fumbled

quaint tide
#

I c

#

saw another 90°?

smoky jetty
#

do the rigor! lol

quaint tide
#

what's rgor

#

rigor

zealous meadow
quaint tide
#

nope....

#

pls explain

#

Guys the herons formula is √[s(s-a)(s-b)(s-c)] where s is half of perimeter right?

quaint tide
#

been a while since I used that

#

aight

zealous meadow
#

wat grade r yall even in, tryna help me
idek
💀

smoky jetty
quaint tide
zealous meadow
#

it aint

#

linear

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its quartic

quaint tide
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idk if that stuff is even possible

zealous meadow
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i tried

quaint tide
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OH SHIT

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IT IS

zealous meadow
smoky jetty
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same