# The base of a triangular pyramid is a triangle with corners at #(1 ,2 )#, #(3 ,7 )#, and #(5 ,9 )#. If the pyramid has a height of #8 #, what is the pyramid's volume?

##### 1 Answer

Nov 19, 2016

48 cu units

#### Explanation:

We know the area of a triangle whose corners are A(x1,y1), B(x2,y2) and C(x3,y3) is

here (x1,y1) = (1,2), (x2,y2) = (3,7) and (x3,y3) = (5,9). So area will be

Now volume of Pyramid = Area of triangle * height of pyramid

= 6*8 = 48 cu units