Question

In △ P Q R , △PQR, ∠ Q ≅ ∠ P , ∠Q≅∠P, R P = 15 RP=15 and P Q = 7 PQ=7. Find the length of Q R . QR.

Answer 1

QR = 13.3

Explanation:

We solve using Pythagoras Theorem

c² = a² + b²

RP² = PQ² + QR²

QR² = RP² - PQ²

QR = √RP² - PQ²

RP=15

PQ=7

QR = √15² - 7²

QR = √(176)

QR = 13.266499161

Approximately = 13.3

Therefore, the length of QR = 13.3