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Java applet illustrating Morley's Miracle

interactive Morley triangles
The applet here, created using David Joyce's Geometry Applet software, provides a test of geometric skill: click on the bottom vertices of the small, red, equilateral triangle to move and resize it. Clicking on vertex X moves the whole drawing. Now, challange a friend to move the vertices of triangle ABC so that the intersection points, a, b and c, exactly fit the equilateral triangle. Space permitting, it is always possible.

 

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