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Question
In a right triangle ABC, ∠B = 90°. If AC = 13 cm, BC = 5 cm, find AB.
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Solution
ΔABC is right-angled at B.
Therefore, by applying Pythagoras theorem, we obtain
AC2 = AB2 + BC2
(13 cm)2 = (AB)2 + (5 cm)2
AB2 = (13 cm)2 − (5 cm)2
AB2 = (169 − 25) cm2
AB2 = 144 cm2
AB = `(sqrt(144)) cm`
AB = (12 × 12) cm
AB = 12 cm.
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