Dynamic Geometry Problem 1148: Right Triangle, Circle,
Incircle, Circumcircle, Tangent, Radius. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). Levels: School, College, Mathematics Education
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Given a right triangle ABC (see the figure above)
with the circumcircle O, incircle O1 of radius r1, and the circle O2 of
radius r2 tangent to AB, BC and arc AC at C2, A2, and
B2, respectively. Prove that r2 = 2r1.
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Dynamic Geometry Environment (DGE) or Interactive Geometry Software
(IGS) of Problem 1148
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See the static diagram of problem
1148
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