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?

Question 357974: 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?
Found 3 solutions by nerdybill, solver91311, ewatrrr:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
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?
.
Let h = height of triangle
then
(1/3)h = base of triangle
.
Area of any triangle = (1/2)*base*height
.
24 = (1/2)(1/3)h*h
24 = (1/6)h^2
144 = h^2
take the square root of both sides:
12 feet = h (height)
.
base:
(1/3)h = (1/3)12 = 4 feet
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Let represent the measure of the base. Then represents the measure of the height. The area of a triangle is the base times the height divided by 2, so:

Solve for .

John

My calculator said it, I believe it, that settles it

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
*Note: Area of a tringle is (1/2)b*h
Let x be the base, the 3x will the height

16m^2 = x^2
4m = x
the base is 4m
checking or answer
(1/2)4m * 12m =24m^2
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