Online Geometry Problems

Online Geometry Problem 767: Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant. Level: High School, College, Mathematics Education

The figure shows an equilateral triangle ABC with AC tangent to a circle O at T. Circle O cuts AB and BC at D,E,F,G, respectively. Prove that: AT + BD + BE = CT + BF + BG. This entry contributed by Ajit Athle.
 

Equilateral triangle tangent to a circle, secant
 

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Typography of problem 767 

 

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