Question
Find the inradius of an equilateral triangle whose
altitude is 9β3 cm.Solution
Altitude of equilateral triangle = (β3a/2) , where 'a' is the side of equilateral triangle
So, (β3a/2) = 6β3
Or, 'a' = 12 cm
Inradius of equilateral triangle = (a/2β3) = (12/2β3) = (6/β3) = 2β3 cm
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