SOLUTION: The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is 7 cm shorter than the longer leg. Find the length of the longer leg of the triangle.
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Question 386284: The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is 7 cm shorter than the longer leg. Find the length of the longer leg of the triangle. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is 7 cm shorter than the longer leg. Find the length of the longer leg of the triangle.
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longer leg =x
shorter leg = x-7
hypotenuse=x+1
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(x+1)^2=(x-7)^2+x^2
x^2+2x+1=x^2-14x+49+x^2
re organize the terms
x^2-14x-2x+49-1=0
x^2-16x+48=0
x^2-12x-4x+48=0
x(x-12)-4(x-12)=0
(x-12)(x-4)=0
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longer leg = 12
shorter leg = 5
hypotenuse= 13
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m.ananth@hotmail.ca
