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Incircles in Right Triangles
This Sangaku from the Iwate prefecture is undated.
Take a right triangle. Draw the altitude from the right angle. This defines two new right triangles.
The sum of the radii of the incircles of the three triangles equals the length of the altitude.
The result is unexpected. The proof is not difficult.
Contributed by:
Claude Fabre
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Incircle
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Right Triangle
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PERMANENT CITATION
"
Incircles in Right Triangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/IncirclesInRightTriangles/
Contributed by:
Claude Fabre
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