SOLUTION: the legs of a right triangle have lengths x+4 and x+7. The hypotenuse has length 3x. Find the perimeter of the triangle
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Question 451434: the legs of a right triangle have lengths x+4 and x+7. The hypotenuse has length 3x. Find the perimeter of the triangle
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
using the Pythagorean theorem, we get
<==>
<==>
<==> (7x + 13)(x-5) = 0
==> x = 5
The perimeter is x+4 +x+7 + 3x = 5x + 11
Hence the perimeter is 5*5 + 11 = 25 + 11 = 36.
(We cannot accept the other x-value -13/7 for an apparent reason.)
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