SOLUTION: Good day to you. Please help me with this word problem. The Lengths of the legs of a right triangle are consecutive even integers. If the length of the hypotenuse is 10, find t

Question 586726: Good day to you. Please help me with this word problem.
The Lengths of the legs of a right triangle are consecutive even integers. If the length of the hypotenuse is 10, find the lengths of the legs of the right triangle.
Answer by ad_alta(240) (Show Source): You can put this solution on YOUR website!
If 'n' is one length, the other is n+2. Then n^2+(n+2)^2=10^2, so 2n^2+4n-96=0. Use the quadratic equation to get n=6, which makes the other side 8 (the other quadratic solution is negative, so we discard it).
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