Problema Solution
The height of a triangle is twice the length of its base. The area of the triangle is 50 m^2 . Find the height and base to the nearest tenth of a meter
Answer provided by our tutors
Let
a = the length of the base, a>0
h = the height of the base
A = 50 m^2
The height of a triangle is twice the length of its base:
h = 2a
The area of the triangle is 50 m^2:
(1/2)ah = 50
plug h = 20a into the last equation:
(1/2)a*2a = 50
........
........
a = 7.1 m
h = 2*7.1
h = 14.2 m
The height of triangle was 14.2 m.
The length of the base was 7.1 m.