Question
ABC is an equilateral triangle with sides of 42cm. Find
the difference between its in-radius and circum-radius.Solution
In-radius of an equilateral triangle = aβ3/6 units where a = side of the equilateral triangle Therefore, the in-radius of the given equilateral triangle = (42β3/6) = 7β3 cm Circum-radius of the given equilateral triangle = 2 Γ 7β3= 14β3 cm required difference= 14β3cm - 7β3cm= 7β3cm
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