SOLUTION: one side of a rectangular stage is 2 meters longer than the other. if the diagonal is 10 meters, then what are the length of the sides?
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Question 282439
:
one side of a rectangular stage is 2 meters longer than the other. if the diagonal is 10 meters, then what are the length of the sides?
Answer by
user_dude2008(1862)
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x^2+(x+2)^2=10^2
x^2+x^2+4x+4=100
2x^2+4x-96=0
x^2+2x-48=0
(x-6)(x+8)=0
x-6=0 or x+8=0
x=6 or x=8
Answer: side lengths are 6 and 8