# math

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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1. As you know, the intersections of the medians is 2/3 of the way from each vertex to the opposite side.

So, the radius of the circle is 2/3 the length of the altitudes (which are also medians for equilateral triangles.

The altitude of an equilateral triangle of side s is s/2 √3

So, the distance from the center to the side is 1/3 * 20/2 √3 = 10/√3

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