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# coordinates

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If A = (-5,4), B = (0,3), F = (-2,1), find the area of triangle ABF.

Jul 13, 2020

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Use the shoelace formula.

$$\text{Area} = \dfrac12 \left|\det\begin{bmatrix}1&-5&4\\1&0&3\\1&-2&1\end{bmatrix}\right| = 6\text{ sq. units}$$

Jul 13, 2020