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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.

 Mar 28, 2021
 #1
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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

 Mar 28, 2021

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