Construction of Decagon
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1. Construct circle O of radius 1 unit, tangent to a line at point A.
2. Mark off 2 unit from point A to locate point P on the line.
3. Construct segment OP and label point Q where the segment intersects the circle.
(By the Pythagorean Theorem, segment OP = the square root of 5. Segment PQ = (the square root of 5) minus 1.)
4. Bisect segment PQ and label the midpoint as R.
(The segment PR has a length ((the square root of 5) minus 1) divided by 2.)
5. Select segment PR and point A. Construct circle by center and radius.
6. Use a radius of the length of segment PR to mark 10 points around the circle.
7. Connect the 10 point to form a decagon.
8. Hide the construction objects.
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