Home » IN the diagram, |LN| = 4cm, LNM = 90o and tan y = 2/3. What…

IN the diagram, |LN| = 4cm, LNM = 90o and tan y = 2/3. What…

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: Option B
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 MNtimes LN=frac{1}{2}times 6times 4=12cm)

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