1. The radius of the circle circumscribing the three vertices of an equilateral triangle is 12 cm. Determine the height (in cm) of the equilateral triangle.
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- By: anil on 05 May 2019 02.06 am
Let the median = height of the triangle = $$h$$ cm ABC is an equilateral triangle with circum-radius = 12 cm Now, O is the circumcentre of the triangle and it divides the median in the ratio 2:1 => $$AO=frac{2}{(2+1)} imes h$$ => $$12=frac{2}{3} imes h$$ => $$h=12 imesfrac{3}{2}$$ => $$h=6 imes3=18$$ cm => Ans - (C)
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