The base of a triangular pyramid is a triangle with corners at #(2 ,6 )#, #(5 ,3 )#, and #(8 ,2 )#. If the pyramid has a height of #18 #, what is the pyramid's volume?
1 Answer
Volume of the pyramid with triangular base is
Explanation:
Volume of triangular pyramid =
Area of triangular base =
Base
Eqn of Base =is
Slope of base
Slope
Slope of altitude
Eqn of Altitude is
Solving Eqns (1) & (2), we get coordinates of the base of the altitude.
Coordinates of base of altitude are (7,1)
Height of altitude
Area of triangular base
Area
Volume of pyramid =