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In a right triangle ABC, ∴ B = 90°.(a) If AB = 6 cm, BC = 8 cm, find AC(b) If AC = 13 cm, BC = 5 cm, find AB |
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Answer» (a) ΔABC is right-angled at B. Therefore, by applying Pythagoras theorem, we obtain AC2 = AB2 + BC2 AC2 = (6 cm)2 + (8 cm)2 AC2 = (36 + 64) cm2 =100 cm2 AC = (√100) cm = (√10x10) cm AC = 10 cm (b) 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 = (169 − 25) cm2 = 144 cm2 AB = (√144) cm = (√12x12) cm AB = 12 cm |
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