SOLUTION: I don't know how to do these problems. The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean trip

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Question 944573: I don't know how to do these problems. The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell weather it is a leg or the hypotenuse. 30 and 40 or 15 and 36, if I could even get one example on how to do them that would be appreciated as I have 8 others to do besides these two.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Try examining the two sides of 30 and 40.

One of these will give an integer for x.
30%5E2%2B40%5E4=x%5E2, x%5E2%2B30%5E2=40%5E2, x%5E2%2B40%5E2=30%5E2.

x=50, x=26.458, x=sqrt(900-1600);
Only the x=50 will work. The other two is noninteger or imaginary.
highlight%28x=50%29 with 30 and 40.