Question

Is there a triangle which is equilateral but not equiangular?

Answer 1

no .............

all equilateral triangle must be equiangular.

thanks

Answer 2

No,there is no triangle which is equilateral but not equiangular.

- An equilateral triangle has three same sides.

- So,if we drop a perpendicular from one vertex of an equilateral triangle on the opposite side,then that equilateral triangle will be divided into two identical triangles.

- According,to the principle of identical triangles we can then prove that the base angles of the equilateral triangle are equal with each other.

- Now, from each of the vertex of that triangle we can do the same above mentioned thing.

And, finally we can prove that all the three angles of that equilateral triangle are equal with each other.