SOLUTION: Please help me to solve the following equation: Use the Pythagorean theorum to determine the value of x and the measurements of each side of the right triangle. The Pythagorean

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me to solve the following equation: Use the Pythagorean theorum to determine the value of x and the measurements of each side of the right triangle. The Pythagorean      Log On


   

Question 598931: Please help me to solve the following equation:
Use the Pythagorean theorum to determine the value of x and the measurements of each side of the right triangle.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Obtain the quadratic equation for x.
(5x)^2=(5x-3)^2+(x+6)^2
I am stuck here. Please help!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%285x%29%5E2=%285x-3%29%5E2%2B%28x%2B6%29%5E2+
+25x%5E2+=+25x%5E2+-+30x+%2B+9+%2B+x%5E2+%2B+12x+%2B+36+
Subtract +25x%5E2+ from both sides
+0+=+x%5E2+-+18x+%2B+45+
+%28+x+-+3+%29%2A%28+x+-+15+%29+=+0+
+x+=+3+ or +x+=+15+ should work