SOLUTION: legs of a right triangle have lengths x + 4 and x+ 7. The hypoetnuse has length 3x. Find the perimeter of the triangle. answer choices: a. 36 units, B. 33 units and C. 31 units

Algebra ->  Triangles -> SOLUTION: legs of a right triangle have lengths x + 4 and x+ 7. The hypoetnuse has length 3x. Find the perimeter of the triangle. answer choices: a. 36 units, B. 33 units and C. 31 units       Log On


   

Question 436465: legs of a right triangle have lengths x + 4 and x+ 7. The hypoetnuse has length 3x. Find the perimeter of the triangle. answer choices: a. 36 units, B. 33 units and C. 31 units
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B4%29%5E2+%2B+%28x%2B7%29%5E2+=+9x%5E2
<==> x%5E2+%2B+8x+%2B+16+%2B+x%5E2+%2B+14x+%2B+49+=+9x%5E2
<==> 0+=+7x%5E2+-+22x+-+65+=+0
(x-5)(7x +13) = 0
==> x = 5, -13/7.
Choose only 5.
The sides of the triangle are 9, 12, and 15.
The perimeter is 36 units.