The area of a triangle is 108 in. squared. A base and corresponding height are in the ratio 3 : 2. What would the length of the base and the corresponding height be?

Answer 1

Area = 1/2 * base * height

108 = 1/2 * Base * height

Base/Height = 3/2

2* Base = 3 * Height

Base = (3/2)*Height

108 = (1/2) * (3/2)*Height*Height

108 = (3/4)*Height^2

108*4/3 = Height^2

144 = Height^2

Height = 12

Base = (3/2)* Height

= (3/2)*12

= 18