Question

The area of a square is $36c{m}^2$. If the side of the square is equal to the side of an equilateral triangle, then find the area of the triangle. $\left[2\text{Marks}\right]$

Answer 1

Area of a square $={\text{Side}}^2$
$\Rightarrow 36={\text{Side}}^2$
$\Rightarrow \text{Side}=6cm$

Hence, side of the equilateral triangle a = $=6cm$
$\left[1\text{Mark}\right]$

Area of equilateral triangle $=\frac{\sqrt{3}}{4}{\text{a}}^2$
$=\frac{\sqrt{3}}{4}\times 36=9\sqrt{3}c{m}^2$
$\left[1\text{Mark}\right]$