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)