SOLUTION: Can someone help me with this word problem? The base of a triangle is one-third as long as its height. If the area of the triangle is 24 sq. meters, how long is its base? Please sh

Algebra.Com
Question 211572This question is from textbook
: Can someone help me with this word problem? The base of a triangle is one-third as long as its height. If the area of the triangle is 24 sq. meters, how long is its base? Please show me the steps and please get back before Tues. 10am.
Thanks so much This question is from textbook

Found 2 solutions by checkley77, scott8148:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
AREA=BH/2
B=H/3
24=[(H/3)H]/2
24=(H^2/3)/2
24=H^2/3*1/2
24=H^2/6
H^2=24*6
H^2=144
H=SQRT144
H=12 METERS FOR THE HEIGHT.
B=12/3=4 METERS FOR THE BASE
PROOF.
24=4*12/2
24=48/2
24=24

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
A = 1/3 (b)(h)

h = 3 b

A = 1/3 (b)(3b)

24 = b^2

sqrt(24) = b ___ 2 sqrt(6) = b
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 triangle is (answered by Fombitz)