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Circle, Circle, Triangle, Circle! (Posted on 2004-09-08) Difficulty: 4 of 5
Consider a circle O with a diameter AB, shown here in green. Draw a second circle (red) with diameter AC, such that C is on AB. Draw an isosceles triangle with base CB and third vertex D on circle O. Draw a third circle (X), tangent to the first three figures. Prove that the line from C to the center of circle X is perpendicular to AB.

No Solution Yet Submitted by SilverKnight    
Rating: 3.5556 (9 votes)

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Error in Solution | Comment 7 of 10 |
(In reply to Geometry Theory by Celie)

Sorry Celie,

Your claim that triangles CFX and CEX are congruent is erroneous, as triangle CFX is not a right triangle.  This is because C does not lie on the mutual external tangent of the two circles in question.


  Posted by David Shin on 2004-09-11 15:55:51
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