What is the area of triangle LMN to the nearest tenth of a square foot? Use special right triangles to help find the height. Show all your work.
Angle LMN is 180 - 90 - 30 = 60°.
Therefore, triangle LMN is a 30-60-90 triangle.
LM = 20/2 = 10 ft
NL = 20/(√3/2) = 10√3
Area = bh/2 = 10 * 10√3 = 100√3 ≈ 173.2 ft2