Problema Solution
The base of a triangle is 2 inches more than 4 times the height. If the area is 36 square inches, find the base and the height.
Answer provided by our tutors
let
a = the length of the base, a >0
h = the length of the height, h>0
A = 36 in^2 the area of the triangle
the base of a triangle is 2 inches more than 4 times the height
a = 2 + 4h
the formula for area of triangle is A = (1/2)(a*h)
(1/2)(a*h) = 36
plug a = 2 + 4h into the last equation
(1/2)(2 + 4h)*h = 36
by solving we find
h = 4 in
click here to see the step by step solution of the equation
a = 2 + 4*4
a = 18 in
the base is 18 inches.
the height is 4 inches.