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Find the inradius of triangle ABC.

 

 Apr 7, 2024
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Inradius =  area  /semi-perimeter

 

Area =  (1/2)a^2 * sqrt (3) / 2  =  (sqrt (3) / 4) a^2

 

Seimi-perimeter =  (3/2)a

 

Inradius =  [ sqrt (3) / 2 ] a^2  / [ (3/2)a] =  a / sqrt 3

 

cool cool cool

 Apr 7, 2024

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