# The base of a triangular pyramid is a triangle with corners at #(7 ,6 )#, #(4 ,1 )#, and #(3 ,2 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?

##### 1 Answer

#### Explanation:

Area of triangle base

a, b c are the lengths of three sides and s the semi perimeter of the triangle

To find the three sides by applying the distance formula,

Semi perimeter of triangle

Area of triangle base

Volume of triangle based pyramid