Question

Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.

Answer 1

Let ∆PQR be the given right angled triangle. 

In ∆PQR, ∠Q = 90°

∴ PR² = PQ² + QR² [Pythagoras theorem]

= 9² + 12² 

= 81 + 144

= 225

∴ PR = \(\sqrt{225}\) [Taking square root of both sides]

= 15 cm

∴ The length of the hypotenuse of the right angled triangle is 15 cm.