Find the point D such that all the triangles have the same area.

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Consider [tex]\triangle ABC[/tex] with vertices [tex]A(4,8),B( - 1,2),[/tex] and [tex]C(0, - 3).[/tex] Find the point [tex]D[/tex] such that [tex]\triangle ABD,\triangle ACD[/tex] and [tex]\triangle BCD[/tex] all have the same area.
 

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