#geometry-and-trigonometry
1 messages · Page 26 of 1
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oh
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."
was cavilieri's principle rigorously proven before calculus?

I forget how to do this stuff
I cannot read anything can you get better quality
Get a phone that isn't made in China
yk iphones are mostly made in china
They clearly shouldn't be
eh, apple's business strategy
Hey could anyone help me

@sullen nimbus I’m doing geometry and having to find the value of angles without a protractor
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
i dont get it
i know that multiplying a complex number by exp(I * theta) rotates its theta but it still doesnt make sense
it makes sense, but in complex plane
use the fact that e^(i * theta) = cos(theta) + i sin(theta)
it this case it is 1/2 + i sqrt(3)/2
It seems that the book did make a typo where z3 * z1 was supposed to be written as z3 - z1 and likewise for z2 * z3
I'm trying to learn complex numbers what books recommend?
why does geometry suck
worst math class i ever took
why tf i gotta prove a triangle is a triangle when its got 3 sides
anyways i need help
i got a fat test on monday on transformations and i still dont know the pattern for rotations
what year are you in
like grade?
yeah
10th
That's why geometry is unique bud
geometry is pointless
not true
the triangle has points.
bah dum tss
anyway
my problem
is this
individual question:
- Theorem Reflexive Property of Congruence for Angles:
Given: ∠A
Prove: ∠A ∼= ∠A
im like
oh ok
well the measures are equal so there
NO
gotta do it like this
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)
so
yep
yeah
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?
In what sense
if the "another statement" can be used to say the shape is a rectangle then probably
Ok
So would I say converse of a definition a rectangle
?
I have no clue what the hell you're trying to do
mb. I was just trying to use a few given statements in a proof, to prove that a shape was a rectangle. Then using the fact that the shape was a rectangle, I was going to prove something else. It's fine though. I got it. Thanks for answering.
Honestly not sure the wording
I always just wrote rectangle implies ...
but ig that doesn't make sense
definition of rectangle implies?
The central angle theorem gives you angle ECD, and angle CED is right by Thales's theorem
From there it seems to be just a matter of chasing angles in the various triangles.
could you show me work please because idk what thales theorem is is
Please don't crosspost in mutiple channels, though.
oh thank youi get it now
is trig after algebra 2 or after geo
k
can anyone help in my channel?
guys what are the properties of a triangle overscribed on a circle?
if I do something like this, in what ratio are the equal sides divided by the tangent points?
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).
hmm, I'm not even sure if I'm asking for the right thing
basically I'm trying to find the equation of the circle inscribed in this triangle
I know that the triangle is isosceles and I also know the coordinates of its vertices
but idk what to do next
So what you want is to find the incenter of the triangle. You do that by intersecting two of its angle bisectors.
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.
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.
You can write both of these distances as a linear function of, say, the x-coordinate and set them equal to each other.
But how am I supposed to use this information
ok so now I know the radius which is basically the distance from (2,1) to the incenter of the triangle
it's equal to $\frac{5-\sqrt{5}}{2}$
IamMax420
but I still don't know how to find the coordinates of the incenter
How did you find that? Not saying it's wrong, I haven't done the calculations myself, but I don't see how you got it.
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.
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)
that's how I got it
Huh, I didn't know that formula, but it looks legit now that you state it.
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.
Ok I figured it out, tysm
though I didn't use the information you told me
I basically substracted (radius) from 3 to find out on what height is the incenter situated
and then set it up to -x/2 + 2
Which is what I said here, right?
I want to clear my doubt
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
it depends if you are talking about coordinate geometry or linear algebra
so?
nothing.
Can someone help me with Geometry (Segments and Congruence)
It's my first time learning Geometry and I don't understand anything.
I know
Ok lets see if i know what im doing
It pisses me off and I am on my 3rd lesson starting Tuesday. I have a test tmrw on Segments and Congruence.
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.
Dont forget the 17 below (or above either way, i prefer below so it doesnt get crowded)
Where did you get 17 from lol
RT=17 u said
Uhh sure
Ok
Idk where the call is tho
Oh DM’s maybe
Sure
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
For finding a midpoint between two undisclosed variables on a number line, can I use (b-a)/2 or still (b+a)/2
(-1-1)/2 =/= 0
b=-1, a=1
Ohhh ty
for the third time? 
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
step 1: find slope of the line (y2-y1)/(x2-x1)
replace in
(y-y1)=m(x-x1)
where m is slope
quick question cos^2(2x) = 1/2(1 - cos(4x)) half angle formulas?
first expan right side
cos^2(x) = 1/2(1-cos(2x) cause half angle formula
was wondering what happens if it is cos^2(2x)
Making equations for desmos is very difficult isn't it? I can't even figure out how to make a stretched semicircle
yall how do i find weighted averages
can anyone help me with these questions?
I think the for the first one, x would be 93°
For the first blank haven’t gotten to that yet lol
2nd question is ez lol I’m literally doing hw on that exact thing rn
- Corresponding
- Vertical
- Alt interior
- Alt exterior
- Supplementary
can someone help me with this cos graph function? i don't understand how is the amplitude -6
are you sure the amplitude is -6? an amplitude can not be a negative number
hey I have a question. is cos^2(2x) equal to (cos^2 (x) - sin^2(x)) ^2?
yes
Can someone solve this
Have u heard of de moivres throrem
thank you so much
ive just started geometry as someone in 8th grade, and i need tips on how to memorize what sin, cosin, tan is easiler
tysm, have a great day
ill remember that
aops!
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?
Made this puzzle up myself it’s not homework but I can’t do it and spent too long to leave without knowing the answer
Could someone please explain?
Pls Someone help me I’m lost and stuck
Ik it’s probably ex and I’m over thinking it
u have any idea regarsing law of sine and cosine?
SohCahToa
yes there isn't a different slope
just a different translation
I do I solved it dw
Did you try swapping the the x & y values of each point?
i already figured it out lol
Cant use trigo ratio if not right angled triangle
uhhhhhhhhhhh
nah
i dont think so'
they are curved
honestly idk
if 2 curved lines like that are parallel
yeah but how do i use that here
Express the left hand side
In terms of sin n theta
Where n is an integer
really failing to grasp angles. i passed alg1 with ease but i’m struggling with geometry
mainly question 7
Read Euclid's "Elements"
Pretty good basis, should still be required in public schooling
I don't think reading a 404 page book for one problem is really assisting him lol
🙄 didnt notice
Geometry is tricky! I sent you some dms that (hopefully) help guide you a bit :D
For all future problems lol
Fair lmao
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.
Anybody?
on one side you write down a step towards proving what the problem tells you to do, and on the other side you write down the theorem that allows you to do that step
thats the simplest way i can explain it
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.
Nah Ik that but the main problem is utilizing the evidence and using the proper evidence
do u get a theorem sheet
Yea but we don’t get to write all of them
what do u mean
give me an example problem and i can walk u step by step. lets move this to one of the help channels
Let’s say we learn ten theorems we can only have eight in the theorem sheet
oh really
Ok can u open one
K
Could someone please explain?
I got a decimal is that my fault??
does this mean the angle at A is 3x+5 and angle at B is 2x and sides AB and BC are equal?
,calc 170/8
Result:
21.25
was that your answer?
was there some constraint saying you can't have decimals?
I didn't get what you mean
Well from what I can see, 21.25 is the answer, it's mathematical so you can prove it : )
Okay!
Well I was just unsure because we haven’t had any problems which had have decimals
,rccw
do you know what is the area of trapezoid?
(Ab+dc)/2 × h
[A=\frac{a+b}{2}h]
Akira 🍉
coordinate geometry looks easy for this
I think it isn't cus our geometry is based on hilbert, not euclid
and the lack of algebra gives a really big headache
reading old math texts is really confusing cus of the lack of recent notation
Same
when solving for theta,
1 = tan theta, doesn't this have multiple solutions for theta?
err
actually isn't is just root 2 / 2 / root 2 / 2 = 1?
so tan is 1 when cos and sine are root 2 / 2
yes
that's only one case, and even then there are infinitely many values of theta where sin and cos theta are sqrt(2)/2
So does cot, their period is just pi instead of 2pi like for other functions.
Wait even though sin and cos have period of 2pi they also have two solutions for any given value right?
Yeah dawg i need help bruh
hello
we don't give out answers for you since this is against the rules
but we are here to help you
what's the question asking?
Idk they werent specific
All i csn rlly say
Somehow
It adds to 180
But x aint 60
Im working it rn so ill ask if i need helo but thx
isn't the question asking to find the angle x?
try adding 180 and subtract the other angles on the angles given
you should be getting your x
Concave Quadrilaterals add up to 360 degrees on the inside "(n - 2) * 180, where n =4 (the number of sides)"
u can extend the lines and do angle chasing
$$sec(x) = \frac{tan(x)}{sin(x)}$$ right?
But $$tan(0) = 0$$ and $$sin(0) = 0$$ and $$\frac{0}{0} = undefined$$
and yet $$sec(0) = 1$$
How?
Navee
secant is defined as 1/cosx
it is the same as tanx/sinx everywhere except for where sinx is 0
Why is that, like algebraically that seems contradictory
I don't have a good answer for why secant is 1/cosx instead of tanx/sinx. You are right that it seems wrong because secant is supposed to be the length of the hypotenuse of a triangle with 1 as its base and tanx as its height, so it follows that sinx=(tanx/secx) or secx=(tanx/sinx)
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 😐
Well technically that would be tangent(gerine)
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
!memes
memes go in #chill
do you still need help with this
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
depends on equation if it's positive or negative
but yea since you're saying it's negative then negative
alright thanks!
Is #3 asking for the midpoint of the first two things as if they were in a number line
Like the average
And the 2nd part of it makes no sense to me
I’ve never been so confused in my life
sin(q)/cos(q)
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.
Is the fact that all trig functions can be represented as slopes of lines a trivial fact?
i an not sure how to answer these questions would love it somebody could help me answer them
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
46 + 90 + (q-3) = 180
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
Nah bro read the channel and ask for help according to that.
ok cool cheers mate
hi, does someone know in which yt video I can learn this?
or the name of the topic
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
what a coincidence, I just watched this video : )
https://www.youtube.com/watch?v=f2pLhomzFXc&ab_channel=EddieWoo ( forgot to paste link out of excitement : )
- minor correction, it's not sen but sin. As in sine
- what you're looking at for sin and cos is them complimenting each other
oh that's great, thanks (:
and in spanish is seno, or sen
yepp
ah ok, I didn't account for the language part : |, anyway happy to help
so close to crying can someone help
m<D = 108
!nosols
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.
it’s a parallelogram
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)
was not in school when we learned this and i have a quiz today on it
please break it down and tell me if my answer to 20 was right
if 20 is right i understand it and only need to know how to do 21
q20 as written doesn't make much sense
for q21, you can apply stuff like pythagorean theorem and/or distance formula
(effectively the same thing)
how did u get 135 already in your equation?
idk if these are shortcuts but they're unclear
ur wrong on q20
135 is the measure of one interior angle
ur adding the measures of 2 interior angles which should equal 270 not 135
let him cook lmao
?
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
is there some sort of way where u can get help when no one has responded for several hours
the #help channel?
u could ping @ helpers there once, after 15 mins of no response afaik
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
Try 3b1b trig lecture, Eddie woo's vids (on YT) they show it visually.
But unit circle is just a circle with radius 1, and it's diameter 2π. Also try to get what is radians, that'll give more insights.
Many thanks! i will check them out
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.
i missed school the day my teacher went over it so i was looking on youtube for a breakdown and they said 180-360/n lmao
are vertical angles sometimes never or always supplementary
afaik vertical angles are formed by the intersection of 2 distinct lines, so they are never supplementary?
I have this open box
How do I solve for the middle square in the cross figure?
I can find the length of most edges of the cross figure, except for the furthest edges
i kinda not get your diagram, but maybe try pythagorean
which site do u make those symbols stuff on an image?
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)
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?
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
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?
tl;dr how can I simplify further the 2nd image to get the bracketed terms in encircled (red) RHS expression (1st image)? Dont mind the (1/2)
nvm it was a simple factorization that i didnt know, lmao
Demonstration of the half-angle formula in trigonometry
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.
Does my math make sense
good
hello
i had a question on a quiz yesterday that told me to give a counter example to this conjecture
a^2 < b^2
a<b
so i said
3^2 < (-5)^2
3 > -5
did i get it wrong or right
you'd probably need an additional line and some words to go with what you're writing for full marks
3^2 < (-5)^2
according to the conjecture,
3 < -5
which is false since 3 > -5
(also not geo/trig)
thanks for telling me
i didnt put words cuz i thought counter examples needed tp be very specific and limited to numbers
im stressing about that question ngl
Need some help with this one guys
The equilateral triangles ADF and BCE are constructed outside the square ABCD. If DE intersected by CF = G show that triangle ABG is equilateral
Pretty stuck
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?
idk if that really shows it though
cuz you don’t actually know any values
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
module of -5 is more than 3
wdym
im kinda stupid can you explain it simpler lol
before i write why its a mistake in question, because sqrt. -5^2 != -5, right?
ok, u right, but because its incorrect line in question
incorrect line?
im so confused sorry
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
but why than you put a negative 3< -5?
@modern thicket
bro, can i describe it by photo in your dm?
yeah
Ever heard of the cosine function? Cos x = (adjacent side/hypotenuse)
how do i find the hypotenuse side
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
u can plug in the values in that equation and do some manipulation
How much geometry would you learn from reading Euclid's elements?
It would get you all the way up to the state of the art as of about 300 BC.
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
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!
Ionela
Shouldnt LP=(AB-CD)/2???
Yeah it's the same
This us like a formula. You don't really have to demonstrate it
I know how to demonstrate it. Do you wanna know how?
Ook
Name of the th?
PF*2=DC
Help
how do i get better at geometry when we dont have a textbook and my teacher hates teaching?
hey
Try online courses
$1+\dfrac{2}{3}\simeq 1.667$ test
Yui Hirasawa
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
$\dfrac{\sin ^{2}\left( x\right) }{1-\cos \left( x\right) }\Rightarrow \dfrac{1-\cos ^{2}\left( x\right) }{1-\cos \left( x\right) }\Rightarrow \dfrac{\left( 1-\cos \left( x\right) \right) \cdot \left( 1+\cos \left( x\right) \right) }{1-\cos \left( x\right) }\Rightarrow 1+\cos \left( x\right)$
Yui Hirasawa
or something like this
$\dfrac{\dfrac{1}{\sin \left( x\right) }+\dfrac{\cos \left( x\right) }{1}}{\dfrac{1}{\cos \left( x\right) }+\dfrac{sin\left( x\right) }{1}}\Rightarrow \dfrac{\dfrac{1+\cos \left( x\right) \cdot \sin \left( x\right) }{\sin \left( x\right) }}{\dfrac{1+\sin \left( x\right) \cdot \cos \left( x\right) }{\cos \left( x\right) }}\Rightarrow \dfrac{\cos \left( x\right) }{\sin \left( x\right) }\Rightarrow \cot \left( x\right)$
Yui Hirasawa
there are many resources online, and perhaps more enganging lectures available for u to enjoy learning geometry
u can try khan academy in particular, but i suggest referring to an online textbook as well for supplementary definitions/concepts
Hmm I don't understand why el*2=cd but I understood the theorem
why does this happen
yes
9
what is the answer
Z is 112
180-x bcoz it's a cyclic quadrilateral
t = 44 btw
kite property or sm
u can refer to central and inscribed angles theorem, or property of cyclic quadrilaterals
or possibly other ways
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```
last step is wrong
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?
oops, should have divided 🙏
Is x 50m or 121m? Or none?
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Sorry, my mistake, I thought I was writing in my private chat with TeXit
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
||~33.32m||
Regarding my problem?
yeah
Can you show the solution? This was a test task
And we (the class) are quite divided between 50 ish and 121
i assumed that this side is equal to 15m + x, otherwise my solution is nothing but fallacy
wdym?
Yes you are right on that
yall got diff answers?
Yeah we quite divided
yall haven't gotten the aswer key yet?
My priv teacher says its 53 ish
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
Oh wait i think im dumb
there prob is, but i couldnt find a similar problem lmao
Just get the hypothenuse of small triangle using theorem of sine and then just sin (58deg)
sin 58deg = x/hypothenuse
whats your hypotenuse's value?
alr alr
im supposed to find the value of NP, does my math check out? just started learning abt this so not sure and its messy
Around 62.6
that’s what NP equals?
mind to share?
oh wait, on which problem? lol
where do we get the reasons for Euclidean geometry
Sorry for bad writing, gggyeah, not easy to write on a lap while in train
example In ∆ABC III ∆ADE
 =  (given) <- this
it's ok, wait a few mins as I try to make mine understandable, lmao
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
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
is it the only problem u didnt get right?
Yeah most likely
No idea, will find out on thursday
oh, im in 10th
lol
Still hoping for a 9/10 tho
Or at least 8
A mini test task had the same points as this one
what topic was it in?
Trig
Quite basic stuff
I was prepping like 2 hours previous day
And i overprepped
u should practice problems with increasing difficulty
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
wow, may I see the problems?
They differ in difficulty
Some take 10 seconds
Others like 3-7 minutes
https://www.uzdevumi.lv/p/matematika-pec-skola2030-paraugprogrammas/matematika-i note: you will need a translator. The tasks are at VII
i see, yeah seems like introductory lessons to trigo
I wish u good luck!
thanks!
i would like a beginner textbook on geometry, with pdf
geometry like 3D or 2D?
2d
try cengage
or
there is an author named rd sharma
his book for maths 2d is good too
they have a textbook?
yeah
textbook with theory
solved examples
and practice problem
alright
thanks
u can get the pdfs online easily
for free
so yeah
Are there any convenient ways to find the radius of a circle given 3 points?
yep ig
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
i made this math thing that uses cos and sin after learning about them
it uses scratch
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
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
- Find the equation of the lines that represent the sides of the top portion of the planter box
- Find the missing vertices
- Draw a sketch, by hand, of the top rectangle on a coordinate grid and another sketch of the box
- Find the perimeter of the top rectangle. Round to the nearest hundredth.
- Find the volume of the concrete in each side of the rectangle
- If concrete costs $5.25 per 6 cubic feet, how much does the box cost?
- 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. - If the angle formed by the longer side and the diagonal is 52 degrees, find x
- 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
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?
youtube
true
Can someone lend me a hand with this question
which one
Both
ok um i can barely read it that and the fact that i need glasses
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.
Is the ship at rest?
Yes
im stuck on this probkem for 2 hours
pleae help
Well, draw a diagram, first
You see, logically speaking...
That 10 degree angle you made.
Is bigger than the 50 degree angle.
it was not meant to be drawn to scale
Well still.
the ship sees the 10 degree angle before the 50 degree angle
If you see something at a 10 degree angle, and then at a 50 degree angle
Did it come closer
no it went furtthe
thats what im asying
cause the whale went further from the ship
It didn't go further.
yes the whale went away from the ship
Well then your angles are drawn wrong
and we r supposed to find the mph of the whale
Its not written so
The whale is coming towards the ship from what I understand
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
Degree to the base of ship?
The observer would sit on top of the ship
So he would look down
yeah look to do the whale not to the base of the ship
hold on
ill show u
Nearer to the ship, or farther.
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
Bruh.
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
Seriously.
Look here.
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
which side represents the ship?
Left.
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
The difference will give you the distance travelled.
Why the sum?
because the total distance travlled was the 10 degree and the 50 degree
It was FROM the 10 degree TO the 50 degree (according to you)
ok then u do it
Whats that 576 128
the side length
128 is what
,w 100 tan(40)
So tell me now
Oh boy
How do I make you understand
Yk what
Lets make a whole diagram
As per your way.
ok...
I even lost my mouse now
..
perfect
so what does BDC stand for
sry
What did you find BD as
567.128 ft
83.9
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
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?
but how would that make sense
Or you're still very stubborn
??
I mean just think
what does stubbornous have to do witht his
Wait a min I got something for you
Wait a minute.
I gotta use Desmos now
You have the undergraduate role.
I'm still preuni
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
ok how about this
we can do two different triangles
it dosent need to be on the same triangle
clearly its a problem
i get that now
@woven shoal ok so continue
how do we find the distance
and why do we subtract
Okay now tell me
We have to find the distance.
Distance means: Final position minus initial position
...
DonutDude | ZT5 Player profile
i just joined and im very dumb but hi
do yall know how to solv this
u can find the value of c using the 2nd triangle, and then the value of d using the 4th triangle. Substitute them for sides c & d of the 3rd triangle and try heron's formula?
u could use heron's formula but it would be very time taking
same thinking, lol
how would you find C???
oh right, lemme think
maybe it can be solved with a system of equations
something makes me feel like a = c
how will i find c
💀
and herons
will giv
5 variables
and 4
quartic equations
tht i aint evn gunna try to slove
prolly some elegant way to slove
tht i dont kno
time to be creative, nifty
hm
print out the question
and
cut out the triagnles
then put each equal side
on itself
then create a quadrilateral
idk
ikr, transforming the first triangle to make a parallelogram w/ the 2nd triangle seems sensible.. i dont got proofs tho
if

oh yeah
ye
fr
me rn
h m m m
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
ofc
the height has to be greater
so tht the area is greater
since the base is alr same
💀
💀
um
lets atleast just note down the heights man
gotta do something
wth those are some pretty goofy heights
triangle 1 : 4/3
2 : 5/3
3 : x/3
4: 13/3
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
is the 2nd triangle a right triangl?
Unless there isn't sufficient information then i'mma be hella mad
not rlly specified so idts
a lil' more interest and i might dive into it with my notebook, lmao
if it was the question would be a 100 times easier
lessgo
my friend sent it
i searched it on google
and only 1 site
has the answer
but i need to pay
yall doing competition math?
no rn
he sent it for fun
don't, we brainstorm here
In the past obv
aight
brain has stopped working after seeing this question
fax
I'll just try the herons formula man
best of luck
wdym

nvm
eyes fumbled
do the rigor! lol
aint no way u dont know wht rigor means
nope....
pls explain
Guys the herons formula is √[s(s-a)(s-b)(s-c)] where s is half of perimeter right?
yes
we need to have the value of all sides of a triangle
10th
we can just make 4 linear equations

trust me
it aint
linear
its quartic
idk if that stuff is even possible
i tried
o same
same
