Interoperable interactive geometry for Europe
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Circles Inscribed in Two Isosceles Right Triangles (Dr Geo geometry file)

There is a relationship between a circle inscribed in an isosceles right triangle, and a semicircle inscribed in a square. Beginning with the large triangle, we add a reduced triangle, hypotenuse against side. Notice that the centre of the circle in the small triangle lies on the line that defines the square circumscribing the semicircle in the large triangle. File type drgeo for the Dr Geo dynamic geometry software.

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