# The base of a triangular pyramid is a triangle with corners at #(1 ,2 )#, #(5 ,2 )#, and #(7 ,5 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?

##### 2 Answers

Apr 6, 2016

Volume

#### Explanation:

We compute for the area of the base which is a triangle first

Let

Let

Let

Use the formula to compute for the area of the triangular base

Area

Area

Area

Area

Volume

Volume

Volume

Apr 6, 2016

#### Explanation:

Area of the base is

The volume of a triangular pyramid is:

The height is given as 7