Question

True or False.
An equiangular triangle can be scalene

Answer 1

This is false.
An equiangular triangle is also equilateral. Since each angle is 60 degrees, the sides across from the angles have to be the same length.

Answer 2

False

Explanation:

We can say whether the statement is true or not from the definition of equiangular and scalene triangles.

Equiangular traingle: The traingle in which all the angle is same and is equal to 60 degrees is called equiangular traingle. In case of this triangle all the sides are equal.

Scalene triangle: The triangle in which all the sides are not equal is called scalene triangle.

Since, in case of equiangular triangle all the sides are equal. On the other hand a scalene triangle has unequal sides.

Therefore, An equiangular triangle can never be scalene.

The statement is False.