Q. 8

The hypotenuse of A. 10 cm, 15 cm

B. 15 cm, 20 cm

C. 12 cm, 17 cm

D. 13 cm, 18 cm

Answer :


Given (BC) = 25 cm


By Pythagoras theorem


(BC)2 = (AB)2 + (AC)2


(25) 2 = (x + 5)2 + x2


625 = x2 + 25 + 10x + x2 (a + b) 2 = a2 + b2 + 2ab


x2 + 5x – 300 = 0


x (x + 15) – 10(x + 15) = 0


Since x = -15 is not possible so side of the triangle is 15 cm and 20 cm

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