the hypotenuse of right angle triangle is 25 CM at out of the remaining 2 sides one is longer than other by 5cm.find the lenght of other sides
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Answer:
Shortest side = 15 cm
Longer side = 20 cm
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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
Step-by-step explanation:
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