SOLUTION: The base of a triangle is one-third as long as its height. If the are of the triangle is 24 square meters, how long is its base?

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Question 102316: The base of a triangle is one-third as long as its height. If the are of the triangle is 24 square meters, how long is its base?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a triangle is bh%2F2 where b is the base and h is the height.
You state that b=h%2F3 and that the area equals 24+m%5E2.
Then
bh%2F2=24
%28h%2F3%29h%2F2=24 Substitute for b.
%28h%5E2%29%2F6=24 Simplify.
cross%286%29h%5E2%2Fcross%286%29+=+6%2A24Multiplicative inverse of 6.
h%5E2=144 Simplify.
h=12+m
b=h%2F3
b=12%2F3
b=4+m