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

[mathwizarddud]

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

 

[Redbelly98]

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