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