Question
Find the area of triangle FED
✓
Answer
Area of a triangle $=\frac{1}{2}\left[\left(x_1 y_2+x_2 y_3+x_3 y_1\right)-\left(x_2 y_1+x_3 y_2+x_1 y_3\right)\right]$
Area of $\triangle FED =\frac{1}{2}[(-2+4.5+3)-(4.5+1-6)]$
$
=\frac{1}{2}[5.5-(-0.5)]
$
$\begin{aligned} & =\frac{1}{2}[5.5+0.5] \\ & =\frac{1}{2} \times 6 \\ & =3 \text { sq.units }\end{aligned}$
Area of $\triangle FED =\frac{1}{2}[(-2+4.5+3)-(4.5+1-6)]$
$
=\frac{1}{2}[5.5-(-0.5)]
$
$\begin{aligned} & =\frac{1}{2}[5.5+0.5] \\ & =\frac{1}{2} \times 6 \\ & =3 \text { sq.units }\end{aligned}$
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