In a right angled triangle ABC, ∠B=90°.

If AC=13 cm, BC=5 cm, find AB

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Solution

△ ABC is a right-angled triangle.

By Pythagoras theorem,

AC²=BC²+AB²

⇒13²=5²+AB²

⇒AB²=−(5)²+13²

⇒AB²=−25+169

⇒AB²=144

⇒AB=√144

⇒AB=12 cm.

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Similar questions

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

In a right triangle ABC, B =90^o.
If AC= 13 cm, BC = 5 cm, find AB.

∠ B = 90^{o}

∠ B = 90^{\circ}

A B = 6

B C = 8

A C

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