Q. 6 B5.0( 2 Votes )

# m∠B = 90 in ΔABC. is altitude to .

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

Answer :

Let AM = x, CM = 34 – x

BM^{2} = AM × MC

⇒ x^{2} – 34x = – 225

⇒ x^{2} – 34x + 225 = 0

⇒ x^{2} – 25x – 9x + 225 = 0

⇒ x(x – 25) – 9(x – 25) = 0

⇒ (x – 9)(x – 25) = 0

⇒ x = 9, 25

AB^{2} = 15^{2} + 9^{2}

⇒ AB^{2} = 306

AB = √306 units

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