#### Question

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

#### Solution

ΔABC is right-angled at B.

Therefore, by applying Pythagoras theorem, we obtain

AC^{2} = AB^{2} + BC^{2}

(13 cm)^{2} = (AB)^{2} + (5 cm)^{2}

AB^{2} = (13 cm)^{2} − (5 cm)^{2} = (169 − 25) cm^{2} = 144 cm^{2}

AB^{ }= `(sqrt(144)) cm = (sqrt(12xx12)) cm`

AB = 12 cm

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Solution In a Right Triangle Abc, ∠B = 90°. If Ac = 13 Cm, Bc = 5 Cm, Find Ab Concept: Estimating Square Root.