Question

The diagonal of square is 22 cm. what is the length (in cm) of its side

Answer 1

√2× side=22,

side=22/√2,

side=11√2

Answer 2

We know, $\boxed{ \bold{ side^{2} + side^{2} = diagonal^{2}}}$





Hence, side^2 + side^2 = 22^2



2 side^2 = 48


4side^2 = 242


side = √24


$2side = \sqrt{ 2 \times 121 } \\ \\ \\side = \sqrt{ 2 \times 11^{2}} \\ \\ \\ side = 11 \sqrt{2} cm$