Q6 of 53 Page 153

m∠B = 90 in ΔABC. is altitude to .

If BM = 15, AC = 34, find AB.

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Let AM = x, CM = 34 – x


BM2 = AM × MC


⇒ x2 – 34x = – 225


⇒ x2 – 34x + 225 = 0


⇒ x2 – 25x – 9x + 225 = 0


⇒ x(x – 25) – 9(x – 25) = 0


⇒ (x – 9)(x – 25) = 0


⇒ x = 9, 25


AB2 = 152 + 92


⇒ AB2 = 306


AB = √306 units


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