#1
What are the steps to a proof problem that asks you to prove that each angle in an equiangular triangle is 60 degrees?
#2
Well the sum of the angles of a triangle are 180 degrees. An equiangular triangle is a triangle with all equal angles. 180/3=60

There ya go. Maybe you can word that better though.
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#4
*Shrug* Look it up? I have in my head but I forget what it's called.
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TS, whenever I see your username, I misread it as "isuckhardcocks."

Just had to get that out there.

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#5
I think i got it...
Given tri. ABC, prove m<A = 60
m<A + m<B + m<C = 180 by triangle sum conjecture
m<A = 60 by 180/3???
m<A = m<B = m<C = 60 by substitution
#6
Mention the triangle is equiangular.
Quote by SmElLy KiD
That is priceless man, you might be my new idol.


TS, whenever I see your username, I misread it as "isuckhardcocks."

Just had to get that out there.

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#7
I think I'd flip steps 2 and 3 around and say that m<A = m<B = m<C by the definition of an equilateral triangle, and therefore m<A = 60.
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#9
Quote by Arkhimedes
what's the conjecture/postulate that says triangles are 180 degrees in sum?


definition of a triangle
#10
Quote by lp_std
i equiangular the same as equilateral?


Equiangular means all the angles are the same. Equilateral means all the sides are the same. In a triangle, one follows from the other, so yes.
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#11
Lol thanks guys, i think i got it although
im not too sure on the 180/3 step...

can it be more formal?
#14
Alright...

Given: tri. ABC is equiangular.
Prove: m<A=60

m<A = m<B = m<C because the triangle is equiangular
The sum of the angles of a triangle are 180 degrees, by Definition of a Triangle.
m<B = 60 degrees, 180/3 = 60
m<A = 60 degrees by transitive property.

That could work.
Quote by SmElLy KiD
That is priceless man, you might be my new idol.


TS, whenever I see your username, I misread it as "isuckhardcocks."

Just had to get that out there.

We're ticking away, the moments that make up the dull days
#15
Can we hurry this up? I'm exhausted! Hahaha.
Quote by SmElLy KiD
That is priceless man, you might be my new idol.


TS, whenever I see your username, I misread it as "isuckhardcocks."

Just had to get that out there.

We're ticking away, the moments that make up the dull days
#16
its easy.

proofs are very straight forward, and a lot of people are scared to write stuff because of that.

just say:

triangle is equiangular - (given)
<a + <b + <c = 180 (angles of a triangle = 180 degrees)
180/3 = 60 degrees

therefore <a = 60 deg., <b = 60 deg., <c = 60 deg.

thats a good enough proof of a question like that
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Last edited by instagata0 at Nov 7, 2007,