Saturday, January 28, 2017

Geometry Problem 1311: Inscribed Triangle, Circle, Circumcircle, Concyclic Points, Measurement

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

Details: Click on the figure below.

Geometry Problem 1311: Inscribed Triangle, Circle, Circumcircle, Concyclic Points, Measurement.

2 comments:

  1. We have AEFC is cyclic => Angle C= angle BEG=> Arc DB= Arc BG
    And AB is an angle bisector of angle DAG
    And DE/EG=AD/AG => x=AG= 16.5

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  2. AEFC are concircle, so <AED =<ACB, so arc AB= arc AD+ arc DB = arc AD + arc BG, SO arc DB=arc BG,so <GAB=<BaD,
    so 12/8 = x/11
    so x= 33/2

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