Question
Determine the inradius of an equilateral triangle whose
altitude measures 9β3 cm.Solution
Altitude of equilateral triangle = (β3a/2) , where 'a' is the side of equilateral triangle So, (β3a/2) = 9β3 Or, 'a' = 18 cm Inradius of equilateral triangle = (a/2β3) = (18/2β3) = (9/β3) = 3β3 cm
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