# The base of a triangular pyramid is a triangle with corners at #(6 ,7 )#, #(3 ,1 )#, and #(5 ,9 )#. If the pyramid has a height of #8 #, what is the pyramid's volume?

##### 1 Answer

Jan 31, 2018

#### Explanation:

Triangle Area

Slope of BC

Equation of BC

Slope of altitude through A is

Equation of altitude h is

Solving equations (1) & (2), we get the coordinates of D, the base of altitude h

#D (78/11, 128/17)

Height of altitude

Area of Triangle

Volume of Pyramid V = (1/3) * Base Area * Height