In the diagram |LN| = 4cm, LNM = 90o and tan y = (frac{2}{3}). What…

In the diagram |LN| = 4cm, LNM = 90^o and tan y = (frac{2}{3}). What is the area of the (bigtriangleup)LMN?

Correct Answer: Option B

Explanation

Since tan y = (frac{2}{3}) and LN = 4
tan y = (frac{2 times 4}{3 times 4} = frac{8}{12} = frac{4}{6})
then tan y = (frac{opp}{adj})
MN = 6cm
Area of angle LMN = (frac{1}{2})bh
= (frac{1}{2} times 6 times 4)
= 12cm³