SOLUTION: How many right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x - 5 meters and x + 7 meters? What are the dimensions of the triangle(s)? I am th

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Question 1208717: How many right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x - 5 meters and x + 7 meters? What are the dimensions of the triangle(s)?
I am thinking Pythagorean Theorem.
My setup:
(2x - 5)^2 + (x + 7)^2 = (2x + 3)^2
You say?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

The setup is correct.


Now, to complete the solution, you should perform two steps:

    (a)   to solve this quadratic equation and to identify possible/working values of x;

    (b)   to restore the sides of this right angled triangle and to check if the triangle inequalities are satisfied.