Problema Solution
the height of a triangle is 3 cm less than the length of the base. the area of the triangle is 35cm^2. find the height and the length of the base.
Answer provided by our tutors
let
a = the length of the base, a>0
h = the height of the base, h>0
A = 35 cm^2 the area of the triangle
the height of a triangle is 3 cm less than the length of the base:
h = a - 3
the area of the triangle is calculated by the formula: A = (1/2)ah
(1/2)ah = 35
plug h = a - 3 into the last equation:
(1/2)a(a - 3) = 35
by solving we find:
a = 10 cm
click here to see the step by step solution of the equation:
h = 10 - 3
h = 7 cm
the height is 7 cm and the base is 10 cm.