# The base of a triangular pyramid is a triangle with corners at #(7 ,6 )#, #(4 ,2 )#, and #(3 ,8 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?

##### 1 Answer

Volume of pyramid is

#### Explanation:

Volume of a pyramid is given by

Hence, we have to first find area of base triangle and as all the three sides can be found between three points, we would be using Heron's formula i.e. area of triangle is given by

Let the points be

Hence

Area of triangle is

Hence volume of pyramid is