CBSE Class 10 Answered
Hypotenuse of a right triangle is 25cm and out of the remaining two sides, one is longer than the other by 5cm. Find the lengths of the other two sides
Asked by Hari Rajagopal Anayath | 03 Oct, 2013, 09:31: PM
Expert Answer
Let one side is x cm
Then other side is (x+5) cm
x^2 + (x+5)^2 = (25)^2
x^2 + x^2 +10x + 25 = 625
2x^2 + 10x - 600 = 0
x^2 + 5x - 300 = 0
x^2 + 20x - 15x - 300 = 0
x(x+20) - 15(x+20) = 0
(x+20) (x-15) = 0
x = -20 x = 15
Side cannot be negative
So, therefore one side is 15cm
other side is (x+5) = (15+5) = 20cm
Answered by | 03 Oct, 2013, 09:58: PM
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