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Q. Area of the triangle whose vertices are $(4,4),(3,-2)$ and $(-3,16)$, is

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Solution:

Area of the triangle, whose vertices are $(4,4),(3,-2)$ and $(-3,16)$
$=\frac{1}{2}|4(-2-16)+3(16-4)+(-3)(4+2)| $
$=\frac{|-72+36-18|}{2}$
$ =\frac{|-54|}{2}=\frac{54}{2}=27$