SOLUTION: The hypotenuse of a right triangle measures 2x+4. The legs of the right triangle measures 12 and 2x respectively. What is the value of x?

Algebra ->  Triangles -> SOLUTION: The hypotenuse of a right triangle measures 2x+4. The legs of the right triangle measures 12 and 2x respectively. What is the value of x?       Log On


   

Question 1029481: The hypotenuse of a right triangle measures 2x+4. The legs of the right triangle measures 12 and 2x respectively. What is the value of x?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
12%5E2+%2B+%282x%29%5E2+=+%282x%2B4%29%5E2
144+%2B+4x%5E2+=+4x%5E2+%2B+16x+%2B+16
subtract 4x%5E2 from each side
144+=+16x+%2B+16
add -16 to each side
128+=+16x
divide each side by 16
x = 8