Find the length of a diagonal of a rectangle whose adjacent sides are 30 cm and 16 cm.

Given that AB = 30cm and AD = 16 cm

∵ ∠ A = 90°

∴ ΔADB is a right-angled triangle.

Applying Pythagoras theorem,

BD² = BA² + AD²

⇒ BD ² = 30² + 16²

⇒ BD² = 900 + 256 = 1156

⇒ BD = 34 cm

∵ Diagonals of a rectangle are equal

∴ AC = 34 cm