In a right triangle ABC, ∠B = 90°. (i) If AB = 6 cm, BC = 8 cm, find AC. (ii) If AC = 13 cm, BC = 5 cm, find AB

(i) Using Pythagoras theorem,
AC² = AB² + BC²
⇒ AC² = (6) ² + (8) ²
⇒ AC² = 36 + 84 = 100
⇒ AC = 10 cm
(ii) Using Pythagoras theorem,
AC² = AB² + BC²
⇒ (13) ² = AB² + (5) ²
⇒ 169 = AB² + 25
⇒ AB² = 169 – 25
⇒ AB² = 144
⇒ AB = 12 cm

Class 8 Maths Chapter 6 Exercise 6.4 Solution in Video

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