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

##### 1 Answer

Jan 8, 2018

Volume of pyramid

#### Explanation:

The shoelace formula or shoelace algorithm (also known as Gauss's area formula and the surveyor's formula[1]) is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane.

Using shoelace formula to find the area of the given triangle base :

Volume of pyramid