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Does an equiangular triangle have to be an equilateral triangle?

In: Math and Arithmetic, Algebra, Geometry [Edit categories]

Answer:

It depends on what kind but most likely, tha answer is yes.

First answer by Keita1998. Last edit by Keita1998. Contributor trust: 21 [recommend contributor ]. Question popularity: 22 [recommend question].

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Can a equiangular triangle be a equilateral triangle?
Every equilateral triangle is equiangular, and every equiangular triangle is equilateral.
Can an equilateral triangle can be an equiangular triangle?
An equilateral triangle is equiangular.
Is a equiangular triangle same as a equilateral?
Yes. If a triangle is equiangular, then it is also equilateral - and vice versa.
Triangle that is both equilateral and equiangular?
A triangle is equilateral if, and only if, it is equiangular. That is to say, the two statements are equivalent.
Is an equilateral triangle always equiangular?
Yes, the angles at the vertices are each 60 degrees (total 180 degrees, as do the sum of the angles in all triangles). The Law of Sines (see related link) can be used to show this: a/sin(A) =...