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Circles Inscribed in Equilateral Triangle in a Square (Dr Geo geometry file)

Inscribe three equal circles in an equilateral triangle using dynamic geometry software. It is evident that: Three equal circles can be inscribed in an equilateral triangle, and each circle is in the centre of a square of which a side of the triangle is a side of the square. This construction originates from a spiral of half equilateral triangles, with a circle inscribed in each triangle. As an exercise, add more circles to this construction. File type drgeo for the Dr Geo dynamic geometry software. A coloured png image file is also on i2geo.net as Circlesinequilateralinsquare.png

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