SOLUTION: the longest side of a right triangle is 7 ft longer than four times the length of the shortest side. the other side of the triangle is 7 ft shorter than four times the length of th

Question 968024: the longest side of a right triangle is 7 ft longer than four times the length of the shortest side. the other side of the triangle is 7 ft shorter than four times the length of the shortest side. find the lengths of the sides of the triangle.
Answer by amarjeeth123(569) (Show Source): You can put this solution on YOUR website!
Let the shortest side be x.
The longest side is (7+4x).
The other side is (4x-7).
We have (4x+7)^2=(4x-7)^2+x^2
16x^2+56x+49=16x^2-56x+49+x^2
x^2=112x
x=112.
The shortest side is 112.
The longest side is 455.
The other side is 441.
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