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Problem 456: Three tangent circles, Center, Chord, Secant, Collinear

The figure shows three circles A, B, and C tangent to each other at D, E, and F, respectively. Lines DE and FE intersect circle A at G and H, respectively. Prove that the points H, A, and G are collinear.


Three tangent circles, center, collinear. chord, secant



Dynamic Geometry: GeoGebra applet

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