Question

Find the side and perimeter of $a$ square whose diagonal is $10cm$

Answer 1

Diagonal of a square$=\sqrt{2}a$

where

a=side

$10=\sqrt{2}a$

$a=\frac{10}{\sqrt{2}}$

$a=5\sqrt{2}cm$

Perimeter of square$=4a$

$=4\times 5\sqrt{2}$

$=20\sqrt{2}$

Therefore side and perimeter of the square is $5\sqrt{2}cm$ and $20\sqrt{2}cm$