# The base of a triangular pyramid is a triangle with corners at #(5 ,1 )#, #(2 ,3 )#, and #(9 ,4 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?

##### 1 Answer

Mar 18, 2016

Volume of pyramid is

#### Explanation:

First to find area of base, let us find all the sides of base triangle.

Now for using Heron's formula,

Hence, area of base triangle is

=

Hence, Volume of pyramid is