The hypotenuse of a right triangle is 25 cm. The other two sides are such that one is 5 cm longer than the other. The lengths of these sides are
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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