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Isosceles Right Triangle in Equilateral Triangle by Inscribed Circles Using Dr Geo (png image file)

Isosceles Right Triangle in Equilateral Triangle by Inscribed Circles Using Dr Geo (png image file)

Two half equilateral triangles (30°-60°-90° triangles) are positioned, with the side of one triangle as the hypotenuse of the next. A circle is inscribed in each triangle. Notice that two lines sloped at 45 degrees form a right isosceles triangle (coloured red). Do you notice any other geometric coincidences in this diagram? The data file for Dr Geo is also on i2geo.net as Isoscelesinequilateraltriangle.drgeo

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