SOLUTION: A field is in the shape of a right triangle. The fence around the perimeter of the field measures 40m. If the length of the hypotenuse is 17m, find the length of the other two side

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Question 964461: A field is in the shape of a right triangle. The fence around the perimeter of the field measures 40m. If the length of the hypotenuse is 17m, find the length of the other two sides.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2B17=40
A%2BB=23
.
.
A%5E2%2BB%5E2=17%5E2
%2823-B%29%5E2%2BB%5E2=289
B%5E2-46B%2B529%2BB%5E2=289
2B%5E2-46B%2B240=0
B%5E2-23B%2B120=0
%28B-8%29%28B-15%29=0
Two solutions:
B-8=0
B=8
Then,
A=23-8
A=15
and
B-15=0
B=15
A=8