SOLUTION: How would I solve this problem. (Pythagorean Theorem)
One side of a rectangular stage is
2 meters longer than the other. If the diagonal is 10 meters,
then what are the lengt
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-> SOLUTION: How would I solve this problem. (Pythagorean Theorem)
One side of a rectangular stage is
2 meters longer than the other. If the diagonal is 10 meters,
then what are the lengt
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Question 292376: How would I solve this problem. (Pythagorean Theorem)
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 oberobic(2304) (Show Source):
You can put this solution on YOUR website! One side=x
The other=x+2
.
10^2 = x^2 + (x+2)^2
expand
100 = x^2 + x^2 + 4x + 4
collect
100 = 2x^2 + 4x + 4
divide everything by 2
50 = x^2 + 2x + 2
which means
x^2 + 2x + 2 = 50
subtract 50 from both sides
x^2 + 2x -48 = 0
factor
(x+8)(x-6) = 0
x = -8 or 6
.
since a negative length is nonsense, we can only use x =6
x+2= 8
.
sides are 6 and 8
.
Checking, is the diagonal 10?
6^2 = 36
8^2= 64
36+64=100
sqrt(100)=10
.
Done
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