SOLUTION: Rectangular Stage. One side of a rectangular stage is 2 meters longer than the other (x + 2m). If the diagonal is 10 meters, then what are the lengths of the sides? Please show wo

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Question 45533: Rectangular Stage. One side of a rectangular stage is 2 meters longer than the other (x + 2m). If the diagonal is 10 meters, then what are the lengths of the sides? Please show work and answer. Thank you.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Splitting it diagonally makes a right triangle:
leg: x
leg: x + 2
hypotenuse: 10
a%5E2+%2B+b%5E2+=+c%5E2
x%5E2+%2B+x%5E2+%2B+4x+%2B+4+=+100
2x%5E2+%2B+4x+-+96+=+0
x%5E2+%2B+2x+-+48+=+0
%28x+%2B+8%29%28x+-+6%29+=+0
x = -8 or x = 6
Measurements have to be positive.
leg: x = 6
leg: x + 2 = 8