Saturday, August 23, 2014

Geometry Problem 1039: Isosceles Triangle, Circle, Tangent Line, Parallel Line

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view the complete problem 1039.

Online Math: Geometry Problem 1039: Isosceles Triangle, Circle, Tangent Line, Parallel Line.

Posted by Antonio Gutierrez at 9:39 AM
Labels: , , , ,

2 comments:

  1. Jacob HA (EMK2000)August 23, 2014 at 9:45 AM

    Join AD.

    Since ∠FCB = ∠EDB = ∠EAD,
    so A,C,D,F are concyclic.

    Since ∠FAC = ∠DCA = ∠BFD,
    thus FD//AC.

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  2. Sumith PeirisNovember 19, 2015 at 1:42 AM

    < FCD = < BDE = < DAE hence ACDF is cyclic so < EDF = < CFD = < CAD = < ACF since < BAC = < ACB and < DAF = DCF

    Hence FD // AC

    Sumith Peiris
    Moratuwa
    Sri Lanka

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