SOLUTION: the height of a triangle is 3 times the length of its base. Find the length of the base and the height given that the area is 36ft squared.

Algebra ->  Rectangles -> SOLUTION: the height of a triangle is 3 times the length of its base. Find the length of the base and the height given that the area is 36ft squared.      Log On


   

Question 383373: the height of a triangle is 3 times the length of its base. Find the length of the base and the height given that the area is 36ft squared.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a triangle,
A=%281%2F2%29bh=36
bh=72
.
.
h=3b
b%283b%29=72
b%5E2=24
b=sqrt%2824%29
highlight%28b=2%2Asqrt%283%29%29ft
Then,
highlight%28h=6%2Asqrt%283%29%29ft