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Find the Barycentric Coordinates of P with Respect to the Affinely

Question 2

Multiple Choice

Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it.
-Let p\mathbf { p } be a point in the interior of abc\triangle \mathrm { abc } with barycentric coordinates (12,38,18) \left( \frac { 1 } { 2 } , \frac { 3 } { 8 } , \frac { 1 } { 8 } \right) . What is the area of Δ\Delta pbc with respect to the area of Δabc\Delta \mathbf { a b c } ?


A) 38(\frac { 3 } { 8 } \cdot ( area of Δabc) \Delta \mathrm { abc } )
B) 12(\frac { 1 } { 2 } \cdot ( area of abc) \triangle \mathrm { abc } )
C) 18(\frac { 1 } { 8 } \cdot ( area of Δabc) \Delta \mathrm { abc } )
D) Not enough information to determine.

Correct Answer:

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