SOLUTION: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?

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Question 416330: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

let x and x+2
now, x^2 +(x+2)^2 =10^2
=> 2x^2 + 4x + 4 = 100
=> x^2 + 2x + 2 = 50
=> x^2 + 2x -48 =0
=> x^2 + 8x -6x -48 = 0
=> x(x+8)-6(x +8) =0
=> (x-6)(x+8) = 0
so, x =6,
x= -8 not possible
so, sides are x and x+2 i.e 6 and 8.