Question

find the ratio of diagonal of a square to its side if the length of side is 14√2 cm​

Answer 1

$side \: of \: square = 14 \sqrt{2} \: cm$

$Diagonal \: of \: square = side \sqrt{2} \\ = 14 \sqrt{2} \times \sqrt{2} \\ = 14 \times 2 = 28 \: cm$

$ratio = \frac{14 \sqrt{2} }{28} = \frac{ \sqrt{2} }{2} = 1: \sqrt{2}$