SOLUTION: I am having problems trying to figure this problem. I am not sure if I have to multiply the diagonal meter by the lengths of the sides. Problem: One side of a rectangular stage

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Question 282899: I am having problems trying to figure this problem. I am not sure if I have to multiply the diagonal meter by the lengths of the sides.
Problem:
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?
Found 2 solutions by user_dude2008, Alan3354:
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
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

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Call the lengths of the sides s and s+2
s%5E2+%2B+%28s%2B2%29%5E2+=+10%5E2
2s%5E2+%2B+4s+%2B+4+=+100
s%5E2+%2B+2s+-+48+=+0
(s + 8)*(s - 6) = 0
s = -8 (Ignore)
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s = 6 meters
The 2nd side = 8 meters