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.