The area of a triangle with vertices at $(- 4, - 1), (1, 2)$ and $(4, - 3)$ is

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none of these

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Solution

The correct option is A
17

Let A be the area of the triangle formed by the points $(- 4, - 1), (1, 2)$ and $(4, - 3)$

$∴ A = \frac{1}{2} | {x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2})} |$

$\Rightarrow A = \frac{1}{2} | {- 4 (2 + 3) + 1 (- 3 + 1) + 4 (- 1 - 2)} |$

$\Rightarrow A = 17$

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