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.Com
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)   (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

RELATED QUESTIONS

The base of a triangle is one third as long as its height. If the area of the triangle... (answered by MathLover1)
The base of a triangle is one-third as long as its height. If the area of the triangle... (answered by Earlsdon)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by mananth,rfer)
The base of a triangle is one-third as long as its height. If the area of the triangle... (answered by solver91311)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by Fombitz,nyc_function)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by nyc_function)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by Fombitz)
the base of a triangle is one-third as long as its height. if the area of the triangle is (answered by nerdybill,solver91311,ewatrrr)
The base of a triangle is one-third as long as its height. If the area of the trinagle is (answered by unlockmath)
The base of a triangle is one-third as long as its height. If the are of the triangle is... (answered by Fombitz)