SOLUTION: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters, how long is its base? I tried 24= x*3x over 2 (A=l*w over 2)

Algebra ->  Triangles -> SOLUTION: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters, how long is its base? I tried 24= x*3x over 2 (A=l*w over 2)      Log On


   



Question 334125: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters, how long is its base?
I tried 24= x*3x over 2 (A=l*w over 2)

Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
let A=area of triangle
let B=base of triangle
let h=height of triangle
--
therefore A=(1/2)*B*h
--
Given B=(1/3)*h and A=24
find h
---
A=(1/2)*B*h; therefore 24=(1/2)*((1/3)*h)*h
24=(1/6)*h^2
24*(6)=h^2
144=h^2
12=h