Question

A square and an equilateral triangle have same perimeters. If diagonal of square is $12\sqrt{2}cm$, then side of traingle is ______.

Answer 1

We know diagonal of square $=side\sqrt{2}unit$

Here diagonal $=12\sqrt{2}cm$

Therefore side$=12cm$

Then perimeter of square $=12\times 4=48cm$

Then according to the question,

The perimeter of equilateral triangle$=48cm$

Hence, side of equilateral triangle $=\frac{48}{3}cm$

$=16cm$