How do you find the area of an equilateral triangle with an apothem of 4sqrt3?

1 Answer
Özgür Özer
Dec 7, 2015

144sqrt3

Explanation:

enter image source here

(source: wolfram.com)

color(white)(xx)tan30=sqrt3/3

=>(4sqrt3)/(a/2)=sqrt3/3
=>color(red)((a/2)*2*1/sqrt3*3)(4sqrt3)/(a/2)=color(red)((a/2)*2*1/sqrt3*3)sqrt3/3
=>a=24

A=1/4sqrt3*24^2
color(white)(xx)=144sqrt3

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