The area of a triangle is 40 square centimeters. The base is 2 centimeters longer than its height. Find the length of the base and height.

Answer 1

A = 40 = bh/2 = (h+2)h/2

80 = h^2 + 2h

h^2 + 2h + 1 = 80 + 1

(h+1)^2 = 81

h+1 = 9

h = 9-1=8 cm = height

b = h+2 = 10 cm = base