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The area of the triangle with vertices $(2, 7), (1, 1), (10, 8)$ is

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16 sq. units

\frac{37}{2}

sq. units

\frac{47}{2}

sq. units

\frac{50}{3}

sq. units

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Correct option is C

The area of the triangle with the vertices $(2, 7), (1, 1), (10, 8)$ is

$Δ = \frac{1}{2} |\begin{matrix} 2 & 7 & 1 \\ 1 & 1 & 1 \\ 10 & 8 & 1 \end{matrix}| = \frac{1}{2} [- 16 + 63]$

$= \frac{47}{2}$ sq. units.

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The area of the triangle with vertices (2,7), (1,1), (10,8) is

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The area of the triangle with vertices $(2, 7), (1, 1), (10, 8)$ is