Question 17

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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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