The base of a triangular pyramid is a triangle with corners at #(7 ,3 )#, #(4 ,1 )#, and #(3 ,2 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?

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Answer 1 · 2018-05-26T10:16:54

Pyramid's volume#= 35/3#

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Area of the triangle ABC = enter image source here
Area of the triangle ABC #=4(3-2)-7(1-2)+3(1-3)#

Area of the triangle ABC #=4+7-6#

Area of the triangle ABC #=5#

Pyramid's volume#= (AH)/3#

Pyramid's volume#= (5xx7)/3#

Pyramid's volume#= 35/3#