Equilateral Triangle

How to construct an equilateral triangle, inscribed in a given circle?

1. Start with the construction of a hexagon inscribed in a circle with the same size as the given circle, and pointing upwards.

2. Draw the connecting line between the angular points of the hexagon just below the horizontal centerline.

3. Draw the connecting line between one end-point of line 2 and the upper end-point of the vertical centerline.

4. Repeat step 3 for the other end-point of line 2.

5. Lines 2, 3 and 4 together form the triangle to be constructed.

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Copyright © 2001, Zef Damen, The Netherlands