Question

In a right angled triangle, right-angled at B, lengths of sides AB and AC are 5 cm and 13 cm, respectively. What will be the length of side BC?

Answer 1

Given: ∠ABC = 90°, AB = 5 cm, AC = 13 cm.

According to the Pythagoras theorem,

AB² + BC² = AC²

⇒ 5² + BC² = 13²

⇒ 25 + BC² = 169

⇒ BC² = 169 – 25 = 144

⇒ BC = `sqrt(144)` = 12

Hence, the length of side BC is 12 cm.