Sunday, April 29, 2012

Problem 744: Parallelogram, Circle, Diameter, Chord, Congruence, Triangle

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the problem 744 details.

Online Geometry Problem 744: Parallelogram, Circle, Diameter, Chord, Congruence, Triangle, Metric Relations.

1 comment:

  1. http://img191.imageshack.us/img191/1969/problem744.png

    Draw GN//AB ( see sketch)
    Since GF=GH => ∠ (FBG)= ∠ (GBH)
    We also have ∠ (BGA)= ∠ (NBG)= ∠ (GBH)= ∠ (GBA)….(Alternate angles)
    So triangles BNG isosceles and NB=BA=NG=4
    In right triangle BGM, GN is a median and BM= 2*BN= 8
    So CM= BM-BC= 3

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