Equilateral Triangle

How to construct an equilateral triangle, given one side?

1. Start drawing a line segment between two given points, being one side of the triangle to be constructed.

2. With the center at point 1 on the right, draw an arc of almost 90° upwards, passing through the other point 1, and therefore, with a radius equal to the length of the line segment.

3. Repeat this for the point on the left. Both arcs must intersect.

4. Draw the connecting line from point 1 on the left to the intersection of arcs 2 and 3.

5. Draw the connecting line from point 1 on the right to the intersection of arcs 2 and 3.

6. Lines 1, 4 and 5 together form the equilateral triangle to be constructed.

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Copyright © 2001, Zef Damen, The Netherlands