SOLUTION: A large garden has the shape of a right triangle. One leg of the garden is 452 feet long. If the hypotenuse is 100 feet longer than the other leg, please find the perimeter of the

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Question 911609: A large garden has the shape of a right triangle. One leg of the garden is 452 feet long. If the hypotenuse is 100 feet longer than the other leg, please find the perimeter of the garden. What I have done is use the Pythagorean theorem but I kept getting a no solution type of answer where x was cancelled out and all that was left was a very high number.
Answer by JoelSchwartz(130)   (Show Source): You can put this solution on YOUR website!
c^2=a^2+b^2
b=452
c=100+a
(100+a)(100+a)=a^2+452^2
10000+100a+100a+a^2=a^2+452^2
10000+200a=204304
200a=194304
a=971.52
c=1071.52
p=a+b+c
p=452+971.52+1071.52
p=2495.04

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