waecmaths question:
In the diagram $\left| LN \right|=4cm,\angle LNM={{90}^{\circ }}$ and $\tan y=\tfrac{2}{3}$What is the area of $\triangle LMN$
Option A:
24cm2
Option B:
12cm2
Option C:
10cm2
Option D:
6cm2
waecmaths solution:
$\begin{align} & \tan y=\frac{opp}{adj}=\frac{\left| LN \right|}{\left| MN \right|} \\ & \frac{2}{3}=\frac{4}{\left| MN \right|} \\ & \left| MN \right|=\frac{4\times 3}{2}=6cm \\\end{align}$
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