Question

if the diagonal of a square is 16√2 cm ,then the length of each of its side​

Answer 1

$\bf{\underline{Question:-}}$

if the diagonal of a square is 16√2 cm ,then the length of each of its side

$\bf{\underline{Given:-}}$

• Diagonal of square is 16√2 cm

$\bf{\underline{Solution:-}}$

Let,

• The side of a square is a cm

• ∆ ABC is a right angle triangle

$\bf{\underline{BY\: PYTHAGORAS\: THEOREM:-}}$

$\bf → BC^2 = AB^2 + AC^2$

$\bf → (16√2)^2= a^2 + a^2$

$\bf → 16 × 16 × √2 × √ 2 = 2a^2$

$\bf→16 × 16 × 2 = 2a^2 ( 2\:and\: 2 \: cancel\:out)$

$\bf → 16 × 16 = a^2$

$\bf → a^2 = 16 × 16$

$\bf → a = \sqrt{16×16}$

$\bf → a = 16$

$\bf{\underline{Hence:-}}$

• The length of side of square is 16cm