Question
Find the inradius of an equilateral triangle whose altitude is 9√3
cm.
Solution
Altitude of equilateral triangle = (√3a/2) , where 'a' is the side of equilateral triangle
So, (√3a/2) = 6√3
Or, 'a' = 12 cm
Inradius of equilateral triangle = (a/2√3) = (12/2√3) = (6/√3) = 2√3 cm
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