Question

In a right triangle PQR,∠Q=90

a)If PQ = 8cm, QR = 15 cm, find PR.
b)If PR = 10cm, PQ = 8 cm, find QR.

Answer 1

a) PR = 17 cm, b) QR = 6 cm

Explanation:

∠Q=90, so PQ and QR are legs, and PR is hypotenuse.

Pythagorean theorem PQ² + QR² = PR²

a) PQ² + QR² = PR²

8² + 15² = PR²

PR² = 289

PR = 17 cm

b) PQ² + QR² = PR²

8² + QR² = 10²

64 + QR² = 100

QR² = 36

QR = 6 cm