SOLUTION: One side of a rectangle is 2 meters longer then the other. one side is x and the other is x + 2 the diagonal is 10 meters what are the lengths of the sides

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Question 164748: One side of a rectangle is 2 meters longer then the other. one side is x and the other is x + 2 the diagonal is 10 meters what are the lengths of the sides
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Pyth.Theorem:
sides-----system%28x=opposite%2Cx%2B2=adjacent%2C10m=hypotenuse%29
a=opposite;b=adjacent;c=hypotenuse
c%5E2=a%5E2%2Bb%5E2, WORKING EQN
10%5E2=x%5E2%2B%28x%2B2%29%5E2
100=x%5E2%2Bx%5E2%2B4x%2B4
2x%5E2%2B4x%2B4-100=0
2x%5E2%2B4x-96=0, divide whole eqn by 2:

x%5E2%2B2x-48=0, perfect square
%28x%2B8%29%28x-6%29=0
2 values -----system%28x=-8%2Cx=6%29
USE highlight%28x=6meters%29, SHORTER SIDE OF THE RECT.
x%2B2=6%2B2=highlight%288meters%29, LONGER SIDE OF THE RECT.
In doubt? go back WORKING EQN:
10%5E2=6%5E2%2B8%5E2
100m=36m%2B64m
100m=100m
Thank you,
Jojo