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Rational Points on the Unit Circle

This construction allows you to explore the connection between rational point on the unit circle and Pythagorean triples. Slide the slope m in order to change the slope of the line through (-1,0) and the point of intersection with the unit circle. The coordinates of the intersection point is given both in decimal form and in rational form. Check the Show triangle box in order to see the triangle constructed by dropping the perpendicular from the intersection point to the horizontal axis. Created by David Brown - Ithaca College