IN the diagram, |LN| = 4cm, LNM = 90 o and tan y = 2/3.
MATHEMATICSWAEC 2007
IN the diagram, |LN| = 4cm, LNM = 90o and tan y = 2/3. What is the area of the ΔLMN?
- A. 24cm2
- B. 12cm2
- C. 10cm2
- D. 6cm2
Correct Answer: B. 12cm2
Explanation
\(tan \hspace{1mm}y = \frac{opp}{adj}=\frac{2}{3}\Rightarrow \frac{2}{3}=\frac{
LN}{MN}=\frac{4}{MN}\\
? MN = \frac{12}{2}=6\\
Area \hspace{1mm}of \hspace{1mm}\Delta LMN = \frac{1}{2}\times MN\times LN=\frac{1}{2}\times 6\times 4=12cm2\)
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