SOLUTION: In a triangle, the ratio of the measuresof the base to the height is 3:4. If the area is 54 square centimeters. What are the lengths of the base and height?

Algebra ->  Triangles -> SOLUTION: In a triangle, the ratio of the measuresof the base to the height is 3:4. If the area is 54 square centimeters. What are the lengths of the base and height?      Log On


   

Question 315206: In a triangle, the ratio of the measuresof the base to the height is 3:4. If the area is 54 square centimeters. What are the lengths of the base and height?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a triangle,
A=%281%2F2%29bh=54
bh=108
.
.
.
b%2Fh=3%2F4
4b=3h
.
.
.
Multiply the area by 4
4bh=432
Substitute for 4b
3h%5E2=432%7D%7D%0D%0A%7B%7B%7Bh%5E2=144
highlight%28h=12%29
Then
b=%283%2F4%29h
highlight%28b=9%29