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Find the ratio of the numerical value of the area, in square units, of an equilateral triangle of side length $1$ units to the numerical value of its perimeter, in units. Express your answer as a common fraction in simplest radical form.

 Aug 13, 2023
 #1
avatar+129881 
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Area =    (1/2) side^2 * sin (60°) =  (1/2) * 1^2 * sqrt (3) / 2  =  sqrt (3) / 4

 

Perimeter =  3

 

A / P  =    sqrt(3) / 4 / 3  =   sqrt (3)  /  12

 

cool cool cool

 Aug 13, 2023

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