SOLUTION: please help Rectangular stage. one side of a rectangular stage is 2 meters longer than the other.If the diagnal is 10 meters,then what are the lengths of the sides

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Question 179244: please help

Rectangular stage. one side of a rectangular stage is 2 meters longer than the other.If the diagnal is 10 meters,then what are the lengths of the sides

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangular stage. one side of a rectangular stage is 2 meters longer than the other.If the diagnal is 10 meters,then what are the lengths of the sides
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The diagonal is the hypotenuse of a right triangle.
The sides are s and (s+2)
Using the Pythagorean Theorem?
s%5E2+%2B+%28s%2B2%29%5E2+=+10%5E2
s%5E2+%2B+s%5E2%2B4s%2B4+=+10%5E2
2s%5E2+%2B+4s+%2B+4+=+100
s%5E2+%2B+2s+%2B+2+=+50
s%5E2+%2B+2s+-+48+=+0
(((s+8)*(s-6) = 0
s = -8, s = 6
Ignore the -8
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s = 6
The sides are 6 meters and 8 meters