SOLUTION: The length of one leg of a right triangle is 8 inches. The length of the other leg is 6 inches shorter than the hypotenuse. Find the length of the missing leg and the hypotenuse

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The length of one leg of a right triangle is 8 inches. The length of the other leg is 6 inches shorter than the hypotenuse. Find the length of the missing leg and the hypotenuse      Log On


   

Question 442679: The length of one leg of a right triangle is 8 inches. The length of the other leg is 6 inches shorter than the hypotenuse. Find the length of the missing leg and the hypotenuse
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
8^2 + (c-6)^2 = c^2
64 + c^2 - 12c + 36 = c^2
100 - 12c = 0
100 = 12c
highlight%28c+=+25%2F3%29
b = 25/3 - 6
highlight%28b+=+7%2F3%29