Question

In the right-angled ∆PQR, ∠P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.

Answer 1

In ∆PQR, ∠P = 90°. 

Hence, side QR is the hypotenuse.

According to Pythagoras’ theorem, 

l(QR)² = l(PR)²+ l(PQ)²

∴ l(QR)²= 10²+ 24²

∴ l(QR)²= 100 + 576 

∴ l(QR)² =676 

∴ l(QR)² = 26²

∴ l(QR) = 26 cm 

∴ The length of seg QR is 26 cm.