Geometry, Theorems and Problems

Online Math: Geometry Problem 1216: Circle, 90 Degrees, Tangent, Common Chord, Collinearity. Tiled background image: Intihuatana, Machu Picchu. Level: College, High School.

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The figure shows a circle with center O and 2 points A and B inside the circle such that angle OAB= 90 degrees. Two circles O1 and O2 pass through A and B and internally tangent to circle O at C and D. Prove that D, B and C are collinear.
This entry contributed by Peter Tran, California , U.S.A.
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Geometry Problem 1216: Circle, 90 Degrees, Tangent, Common Chord, Collinearity.
 
 

 

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Last updated: May 20, 2016