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Find the radius of the circle inscribed in triangle $ABC$ if $AB = 5$, $AC = 6$, and $BC = 8$.

 Aug 22, 2023
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Inradius =   Area /  Semi-perimeter

 

Semi-perimeter =  ( 5 + 6 + 8)  / 2 =   19 / 2 =   9.5

 

Area = sqrt [ 9.5 ( 9.5 - 5) (9.5 -6) (9.5 - 8) ]   ≈ 14.9812

 

Inradius =  14.9812 /  9.5   ≈ 1.58

 

 

cool cool cool

 Aug 22, 2023

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