Algebra
posted by Sarah on .
the altitude of a triangle is 3m less than half its base. If the area of the triangle is 300 m^2 find the measure of the base.

Area = 1/2 Height * Base
If base = x, then height = .5x3
300 = 1/2x(.5x3)
Solve for x. 
300=1/2x(5x3)
5x^23x600=0
(using Quadratic formula)
x1=10.659
x2=11.259
...we have no negative measure for the BASE so,
b = 11.3m 
300=1/2x(5x3)
5x^23x600=0
(using Quadratic formula)
x1=10.659
x2=11.259
...we have no negative measure for the BASE so,
b = 11.3m