SOLUTION: Please help: The base of a triangle is 6 cm greater than the height. The are is 56 cm^2. Find the height and length of the base.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help: The base of a triangle is 6 cm greater than the height. The are is 56 cm^2. Find the height and length of the base.      Log On


   



Question 331372: Please help:
The base of a triangle is 6 cm greater than the height. The are is 56 cm^2. Find the height and length of the base.

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


Let represent the measure of the height. Then the measure of the base is .

The area of a triangle is the product of the base times the height divided by 2, so:



Solve for to get the height, add 6 to get the base. Note: The resulting quadratic equation will have two roots. Discard the negative root because you are looking for a positive measure of length.

John

My calculator said it, I believe it, that settles it