SOLUTION: The base of a triangle is 6 centimeters greater than its height.The area of the triangle is 80 square centimeters. Find its base and height.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The base of a triangle is 6 centimeters greater than its height.The area of the triangle is 80 square centimeters. Find its base and height.      Log On


   



Question 435382: The base of a triangle is 6 centimeters greater than its height.The area of the
triangle is 80 square centimeters. Find its base and height.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the base. Then must represent the height. Base times height divided by 2 is the area, so:



Rearrange



Solve the quadratic and discard the negative root.

John

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