Sangaku - 3 circles and line

Author:John Golden

Sangaku are the lovely sacred geometry puzzles found in Japan. One of the simplest is this arrangement. The puzzle is, given the red and blue radii, can you find the purple?

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Intersections of y=a^x and y=log(a, x)
दुई-ओटा समुहको संयोजन (Union of two sets)
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bewijs stelling van Pythagoras
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