Question

the area of a triangle is 27 sq ft. its height is 3 times the length of the base. find the height and base.

Answer 1

let base be x

height = 3x

area = 1/2 * base* height

area = 1/2 * x*3x

Area = 3x^2/2= 27

3x^2= 54

x^2= 54/3

x^2= 18

x= sqrt 18

x= sqrt (3*3*2)

x= 3sqrt2 the base

height = 3 * 3sqrt2

height = 9 sqrt2

Hope this helps!