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In a right triangle ABC,angle B=90 Degree (b) If AC = 13 cm, BC = 5 cm, find AB

Q.7 In a right triangle ABC,\angle B=90^{\circ}

(b)  If AC=13\; cm, BC=5\; cm, find AB

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Using Pythagoras theorem,  

                   AC^2 = AB^2 + BC^2

or                 13^2 = AB^2 + 5^2

or                169 = AB^2 + 25

or                 AB^2 =169 - 25= 144

Prime factorisation of 144 gives :-  2\times2\times2\times2\times3\times3

Hence,                        AB = 12 cm

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