what is the base and heigt of a triangle that has an area of 27 feet squared and the height is 3x base?

2 answers

First let's look at the formula to find the area of a triangle.

Area = (base x height)/2

Now, the question tells us that the height is 3x the base. Therefore, it is safe to say that if B is the base then the height must be 3B. We can then re-write the formula:

27 = ( B x 3B)/2

Can you solve from there?
When you solve the equation above, you'll get a value for the base of the triangle. Simply multiple that value by 3 in order to get the height.