# The base of a triangular pyramid is a triangle with corners at #(3 ,4 )#, #(6 ,2 )#, and #(5 ,7 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?

##### 1 Answer

Oct 14, 2016

The volume is

#### Explanation:

The volume, V, of a triangular pyramid is:

where A is the area of the base and h is the height.

We are given

Therefore, we need a formula for the area of a triangle given the coordinates of its vertices :