Question

1) Find the side of a square whose diagonal is 16 cm​

Answer 1

$\sf{x \:}\cancel{\huge\boxed{ \begin{array}{cc} \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \end{array}}} \\ \: \: \: \: \: \sf{x}$

• Diagonal = 16 cm

Let the side of the square be x. ( All the sides of a square are equal).

By using pythagoras property,

→ (Diagonal of square)² = x² + x²

→ (16)² = 2x²

→ 256 = 2x²

→ $\sf \dfrac{256}{2}$ = x²

→ 128 = x²

→ √128 = x

→ 8√2 = x

→ 8√2 cm = Side