Question

Are all equiangular triangles similar? Justify your answer

Answer 1

one can get similar triangles by AA, namely Angle Angle, two angles are the same on both triangles.

now if two triangles are equal in both triangles, the last remaining triangle by definition must equal the other remaining on the other triangle, so we really have AAA.

Equiangular triangles, have AAA and therefore also AA, thus similar.

Answer 2

Yes, all equiangular triangles are similar.

Explanation:

We have been given an statement. We are asked to determine whether our given statement is true or not.

Statement: All equi-angular triangles similar.

We know an equiangular triangle has all three interior angles of equal measure, that is, each angle measures 60 degrees.

All equiangular triangles will have each interior angle of 60 degrees. By Angle-Angle-Angle similarity all equiangular triangle are similar, therefore, our given statement is true.