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 $\mathbf { p }$ be a point in the interior of $\triangle \mathrm { abc }$ with barycentric coordinates $\left( \frac { 1 } { 2 } , \frac { 3 } { 8 } , \frac { 1 } { 8 } \right)$ . What is the area of $\Delta$ pbc with respect to the area of $\Delta \mathbf { a b c }$ ?

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

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