Question

Find the length of the side of a square if the length of its diagonal is 10 cm.

Answer 1

Given, length of diagonal = 10 cm

Suppose, the length of side of a square is x cm.

By using Pythagoras theorem,

(10)² = x² + x²

⇒ 100 = 2x²

⇒ x² = 50

⇒ x = `sqrt(50)`  ...[Taking square root on both sides]

∴ x = `5sqrt(2)` cm

Hence, the length of the side of square is `sqrt(50)` or `5sqrt(2)` cm.