# The base of a triangular pyramid is a triangle with corners at #(6 ,2 )#, #(4 ,5 )#, and #(8 ,7 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?

##### 1 Answer

Volume of pyramid is

#### Explanation:

Find the distance between corners should give us three sides and using Heron's formula we can then find area of base triangle.

Then area can be multiplied by height and divided by

The sides of triangle formed by

Hence

and

=

Hence volume of pyramid is