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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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