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]

∴ PR² = 9² + 12² 

∴ PR² = 81 + 144

∴ PR² = 225

∴ PR = `sqrt(225)` .....[Taking the square root of both sides]

∴ PR = 15 cm 

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