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