# The base of a triangular pyramid is a triangle with corners at #(2 ,5 )#, #(6 ,5 )#, and #(3 ,8 )#. If the pyramid has a height of #15 #, what is the pyramid's volume?

##### 1 Answer

Volume of pyramid is

#### Explanation:

Volume of such a pyramid is one third of base of its area multiplied by its height. While height has been given, we have to find area of triangular base, which can bee found using Heron's formula, which gives are

For this find the sides of triangle formed by

The distance between pair of points will be

Hence,

And area of triangle

=

Hence volume of pyramid is