SOLUTION: A right triangle has an area of 84 ft^2 and a hypotenuse 25 ft long. What are the lengths of its other two sides? Thank you so much!

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Question 48120This question is from textbook College Algebra
: A right triangle has an area of 84 ft^2 and a hypotenuse 25 ft long. What are the lengths of its other two sides?
Thank you so much! This question is from textbook College Algebra

Answer by cowess(34) About Me  (Show Source):
You can put this solution on YOUR website!
Say the other two sides are x ft and y ft.
1%2F2xy=84soy=168%2Fx
x%5E2%2By%5E2=25%5E2
x%5E2%2B%28168%2Fx%29%5E2=625
x%5E4-625x%5E2%2B28224=0
x%5E2=576or49
x=24,7
when x=24, y=168/x=7
when x=7, y=168/x=24
so the lengths of its other two sides are 7 and 24