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

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Solution

In the right angled triangle PQR, ∠P = 90^∘. Hence, side QR is the hypotenuse.
According to Pythagoras' theorem,
l(QR)² = l(PQ)² + l(PR)²
⇒l(QR)² = (24)² + (10)²
⇒l(QR)² = 576 + 100
⇒l(QR)² = 676
⇒l(QR)² = (26)²
⇒l(QR) = 26
∴ Length of seg QR = 26 cm.

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