Q. 6 B5.0( 2 Votes )

# m∠B = 90 in ΔABC. is altitude to .If BM = 15, AC = 34, find AB.

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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