Thursday, August 18, 2016

Geometry Problem 1248: Triangle, Circumcircle, Circle, Diameter, Orthocenter, Altitude, Parallel Lines

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

Click the figure below to view more details of problem 1248.


Geometry Problem 1248: Triangle, Circumcircle, Circle, Diameter, Orthocenter, Altitude, Parallel Lines

1 comment:

  1. Connect KC,
    Quadrilateral AEDC is cyclic => ∠ (BED)= ∠ (ACB) .. ( both angles supplement to ∠ (AED))
    we have ∠ (BAC)= ∠ (BKC) => ∠ (ABF)= ∠ (KBC)
    so triangle BEG similar to BCM and triangles BEH similar to BCK …( case AA)
    and we have BG/BM=BE/BC=BH/BK
    so BG/BH=BM/BK
    and GM//HK

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