the base of a triangle is 3cm greater thanthe height.the area is 27cm find the heightand base of the triangle

Answer 1

height -- x
base -- x+3

(1/2)x(x+3) = 27
x^2 + 3x = 54
x^2 + 3x - 54 = 0
(x+9)(x-6) = 0
x = -9 (no good) or x = 6

height = 6
base = 9