The area of a triangle is represented by the equation 2h^2 – h = 15 where h is the height of the triangle. Find the height.

Answer 1

2h^2-h=15.

2h^2,-h -15=0. [ factor by grouping]

2h^2 -6h +5h -15=0

2h(h-3) + 5(h-3) = 0

(2h+5) (h-3) =0

h=3 or -5/2 but you can discard -5/2,since you can’t have a negative distance for the height