Problema Solution
in a right triangle, the hypotenuse exceeds a leg by 2 inches, and the perimeter is 60 inches. if the area is 120 square inches, find the hypotenuse
Answer provided by our tutors
Hi there,
Here is the explanation:
assume the length of hypotenuse is x inch, one of the leg is then (x-2) inchen, the other leg is 60-(2x-2) inches.
Area=1/2*(x-2)*(60-(2x-2))=120.
x^2-33x+182=0
(x-26)(x-7)=0.
x=26. (we excluse x=7 since the hypotenuse is less than the other leg in this case).
Therefore, the length of hypotenuse is 26 inches.