SOLUTION: The hypotenuse of a right triangle is 6m long. One leg is 1m longer than the other find the length of the shorter leg. Thank you

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Question 40363: The hypotenuse of a right triangle is 6m long. One leg is 1m longer than the other find the length of the shorter leg.
Thank you
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
One leg's size = z
Other leg's size = x
Equation:
z+%2B+1+=+x
Use pythagorus's theorm:
a%5E2+%2B+b%5E2+=+c%5E2
%28z%29%5E2+%2B+%28x%29%5E2+=+%286%29%5E2
%28z%29%5E2+%2B+%28z+%2B+1%29%5E2+=+%286%29%5E2
z%5E2+%2B+z%5E2+%2B+2z+%2B+1+=+36
2z%5E2+%2B+2z+-+35+=+0
z is about 3.71m
x is about 4.71m