The base of triangle is 4cmgreater then the height, the area is 48cm squared. Find the height and the length of the base.

b = h + 4

(1/2) b*h = 48

Use substitution to solve for b and h.
b*(b-4) = 96
b^2 -4b -96 = 0
(b-12)(b+8) = 0

Take the positive root of the factored equation. Then solve for h using that root.