Question

also draw the diagram

Answer 1

An equilateral triangle cannot be formed on the diagonal of a square. It forms an isosceles triangle.

A sq. Having all the sides equal, and the length of the diagonal obviously being greater than its sides and in an equilateral also all sides are eq

If NOT UNDERSTOOD:-

In a square all angles are 90 degrees. So if we construct a diagonal it forms two right angled triangles. Since in a square all sides are equal (let side be 2cm ), so by applying Pythagoras Theorem we can find out the length of the diagonal in this case it would be

(2)²+(2)² = (diag)²

=> 4 + 4= 8= (diag)²

Diag = 2√2

Hence the length of the diagonal being more than the length of the side of a square, we cannot form and eq. Triangle .. (so I guess the question is incorrect)

I would like to see other's opinion as well. I might be wrong.

Answer 2

Hope it will help you freind