Question

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.

Answer 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.

Answer 2

MATH