SOLUTION: PLEASE HELP ME! THIS IS DUE TOMARROW! PLEASE HELP A triangle has a height of 4 inches more than two times its base and the area of the triangle is 168 find the base

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: PLEASE HELP ME! THIS IS DUE TOMARROW! PLEASE HELP A triangle has a height of 4 inches more than two times its base and the area of the triangle is 168 find the base      Log On


   

Question 134090: PLEASE HELP ME! THIS IS DUE TOMARROW! PLEASE HELP
A triangle has a height of 4 inches more than two times its base and the area of the triangle is 168 find the base
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure when 'tomarrow' is, but your need sounds urgent.

The area of a triangle is the base times the height divided by 2. But your height is 4 inches more than 2 times the base, so the area of your triangle must be %28b%282b%2B4%29%29%2F2=168.

2b%5E2%2B4b-336=0
b%5E2%2B2b-168

%28b-12%29%28b%2B14%29=0

b=12 or b=-14

Exclude the negative root because we are looking for a positive measure of length.

Check the answer:
%2812%2824%2B4%29%29%2F2=%2812%2A14%29=168