Processing math: 0%
Home / Aptitude Tests / Mathematics / IN the diagram, |LN|...
IN the diagram, |LN| = 4cm, LNM = 90o and tan y =...
IN the diagram, |LN| = 4cm, LNM = 90o and tan y = 2/3. What is the area of the ∆LMN?

IN the diagram, |LN| = 4cm, LNM = 90o and tan y = 2/3. What is the area of the ∆LMN?

A.

24cm2

B.

12cm2

C.

10cm2

D.

6cm2

Correct answer is B

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=12cm