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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Solution

(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=

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=

AB = 12 cm

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Question 7 (i)
In a right triangle ABC, B =90^o.

If AB= 6cm, BC= 8cm, find AC.

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A B = 6

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