#hello

105 messages · Page 1 of 1 (latest)

vale crest
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Is that a sphere or a circle?

plain prism
molten lintel
vale crest
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And what about the triangle, is that touching the centre?

molten lintel
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Gauguin, can you send us the translated text too?

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Please do. Or just the raw text. Chatgpt can translate pretty well XD

vale crest
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I was about to write the same thing

plain prism
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Is there any angle given??

vale crest
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I don't really remember the properties of the chords

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Aaaahh

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You can't use sine functions here

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either

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How'd you draw the diagram?

plain prism
vale crest
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Oh yeah

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I see

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But

molten lintel
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I found a way but its annoying lol

vale crest
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You can't use Pythagoras here

molten lintel
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In a sense

vale crest
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Don't you need a perpendicular for that?

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Yeah you can

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Qh

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Ah

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Bruh

vale crest
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See the radius is 12

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Got it alr?

molten lintel
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I did not lol. Wondering how to proceed after that

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The idea I have is this.

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You can use sine law to find that angle.

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Do the same thing with the other side

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Add their angles

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You get angle B?

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Whatever it was

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Then apply cosine law

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Radii bisects the chords perpendicular

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So ye

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Isosceles triangles

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But lengthy process maybe

vale crest
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Something's missing

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Or we don't know the properties

viscid vaultBOT
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@urban narwhal has given 1 rep to @errant monolith

molten lintel
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You can solve after that?

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Did you know that whenever a radius bisects a chord, they make 90° angle?

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Alright so lemme send you another picture

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Okay so from the first picture, can you understand how we get an isosceles triangle?

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Triangle with 2 sides equal

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Let it AC

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But do understand the isosceles triangle part?

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Yessss

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So we know angle OBC = angle OCB?

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It is given?

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Ah okay

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And yes you are right we can use that to find angle C

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And also, we know that angle C = angle B

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So far clear?

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Great

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Time to send another picture

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I added a ✅ because we know that angle

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Can you see what cosB is this time?

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Yep

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Which means we know that angle too, right?

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Not really lol

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Do you know inverse trigonometric functions?
Like how to get angles from trigonometry?

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Yes!

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We can add those

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arccos(1/4)+arccos(1/6)

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No formulas

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Just add

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Ah no, not like that

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I actually dont know the rules for inverse trig functions

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You are not allowed to use calculator?

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Yeah, that's the way I did it.

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And the question is from a school textbook?

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Not even table values?

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Like a table or sheet with values written on it

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Like pi = 3.141
e = 2.718
log(2) = 0.3

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Then I will try to find a better way tomorrow

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But for tonight, that's the only solution which came to my mind

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We use a calculator to find arccos(1/6) and arccos(1/4)

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And then add them

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Let's say the answer was 100° (just saying)

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Then we can use cosine law

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c² = a² + b² - 2abCos(C) right?

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We have the values of a and b

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And we just found C

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Makes sense?

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👍

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@molten lintel by the way

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Another way i can think of is

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Using coordinate geometry

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You know that?

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We give coordinates like (1,3) to all the points

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Do you know equation of a circle?

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I agree

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Anyways, good night. Talk to you tomorrow

molten lintel
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and how do you know that it is true?

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Can you send me a proof or the theorem's name?

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Thanks Gauguin.