SOLUTION: The base of a triangle is one-third as long as its height. If the area of the triangle is 6 square meters, how long is its base?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The base of a triangle is one-third as long as its height. If the area of the triangle is 6 square meters, how long is its base?      Log On


   

Question 887560: The base of a triangle is one-third as long as its height. If the area of the triangle is 6 square meters, how long is its base?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a triangle,
A=%281%2F2%29bh=6
bh=12
.
.
b=%281%2F3%29h
Substituting,
%281%2F3%29h%2Ah=12
h%5E2=36
highlight%28h=6%29
Then,
b=%281%2F3%296
highlight%28b=2%29