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An Equilateral Triangle Of Side 20cm Is Inscribed In A Circle.Calculate The Distance Of A Side Of The Triangle From the Centre Of The Circle.

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asked by Jo
  1. The medians of the triangle all pass through the center of the circle.

    The medians intersect 2/3 of the way to the opposite side.

    The altitude of the triangle is also one of the medians, and it has length 10√3.

    So, r = (2/3)10√3 = 20/√3

    For an equilateral triangle of side s, the circumradius is s/√3.

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    posted by Steve
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