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Find the inradius of triangle ABC.

 

 Apr 22, 2024
 #1
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+1

Inradius =  area / semi-perimeter  =

 

[ 1/2 * a^2 * sqrt (3) /2 ]  / [ 3a/2]  =

 

 

[ sqrt (3) / 4 * a^2 ] / [  3a/ 2 ]  =

 

a / (2 sqrt 3)

 

sqrt (3) a  / 6

 

cool cool cool

 Apr 22, 2024

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