# The base of a triangular pyramid is a triangle with corners at #(8 ,5 )#, #(6 ,7 )#, and #(5 ,1 )#. If the pyramid has a height of #8 #, what is the pyramid's volume?

##### 1 Answer

Pyramid's volume is

#### Explanation:

Let they be

First, you would calculate the area of the triangle ABC, by getting the lenght of a side:

and then the height relative to AC, by finding the distance between the point B and the line AC:

Then the equation of the line AC is

that's

Then let's calculate the distance:

Now let's calculate the area of the triangle:

The pyramid's volume is obtained by: