Question
Find the radius of the incircle of an equilateral triangle
whose height is given to be 3β3 cm.Solution
ATQ,
Altitude = (β3a/2)
β (β3a/2) = 3β3
β a = 6 cm
Inradius = a / (2β3) = 6 / (2β3) = 3 / β3 = β3 cm
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