SOLUTION: the sides of a right angled triangle have lengths (x-3) cm, (x+11) cm, and 2x cm, where 2x is the hypotenuse. Find x.

Algebra ->  Triangles -> SOLUTION: the sides of a right angled triangle have lengths (x-3) cm, (x+11) cm, and 2x cm, where 2x is the hypotenuse. Find x.      Log On


   



Question 691702: the sides of a right angled triangle have lengths (x-3) cm, (x+11) cm, and 2x cm, where 2x is the hypotenuse. Find x.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the sides of a right angled triangle have lengths (x-3) cm, (x+11) cm, and 2x cm, where 2x is the hypotenuse. Find x.
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%28x-3%29%5E2+%2B+%28x%2B11%29%5E2+=+%282x%29%5E2
x%5E2+-+6x+%2B+9+%2B+x%5E2+%2B+22x+%2B+121+=+4x%5E2
16x+%2B+130+=+2x%5E2
x%5E2+-+8x+%2B+65+=+0
x = 13