Question 273519: The hypotenuse of a right triangle is 25 inches. Find the length of the legs if their sum is 31 inches. Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! c=25 a+b=31
b=31-a
a^2+b^2=c^2
a^2+(31-a)^2=625
a^2+a^2-62a+961=625
2a^2-62a+336=0
a^2-31a+168=0
(a-24)(a-7)=0
a=24, b=7 or vice versa
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Ed
