SOLUTION: A farmer has a pasture in the shape of a right triangle. The measure os the longer leg of the pasture is twelve yards longer than three times the measure of the shorter leg. If the

Question 87335: A farmer has a pasture in the shape of a right triangle. The measure os the longer leg of the pasture is twelve yards longer than three times the measure of the shorter leg. If the hypotenuse of the pasture measures 100 yards, what are the lengths of the legs of the field?
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
L=3W+12
L^2+W^2=100^2
(3W+12)^2+W^2=10000
9W^2+72W+144+W^2-10000=0
10W^2+72W-9856=0
(2W-56)(5W+176)=0
2W-56=0
2W=56
W=28 ANSWER FOR THE WIDTH.
L=3*28+12
L=96 ANSWER FOR THE LENGTH.
PROOF
28^2=96^2=10000
784+9216=10000
10000=10000

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