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.

Question

Mathematics

Jadon Knapp

20 December, 13:12

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.

+3

Answers (1)

Know the Answer?

Bella Macdonald · Answer 1

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

Step-by-step 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

In a right triangle PQR,∠Q=90a) If PQ = 8cm, QR = 15 cm, find PR.b) If PR = 10cm, PQ = 8 cm, find QR.

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.