Question 998544: The height of a triangle is 2 more than twice the base. The area is 20 square feet. Find the base Found 2 solutions by fractalier, MathTherapy:Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! The area of a triangle is
A= (1/2)bh
Since h = b+2 we can substitute and solve
20 = (1/2)b(b+2)
40 = b^2 + 2b
b^2 + 2b - 40 = 0
Use the quadratic formula here because it is not factorable...
b = (-2 +- sqrt(4 + 160)) / 2
and get
b = (-2 +- 12.65) / 2 (must be positive here so...)
b = (-2 + 12.65) / 2 = 5.33 or so...
