# The base of a triangular pyramid is a triangle with corners at #(3 ,7 )#, #(5 ,4 )#, and #(8 ,2 )#. If the pyramid has a height of #2 #, what is the pyramid's volume?

Volume of a pyramid is

The base triangle's corners and height are both specified.

cubic.unit [Ans]

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To find the volume of the triangular pyramid, you can use the formula:

[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ]

First, find the area of the base triangle using the given coordinates of its vertices. You can use the formula for the area of a triangle given its vertices.

Once you have the base area and the height (given as 2 units), plug these values into the formula for the volume of a pyramid and calculate it.

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