Friday, July 26, 2024

Geometry Problem 1568: Prove Concyclicity of Points B, D , H, J in a Triangle ABC

Challenging Geometry Puzzle: Problem 1568. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1568
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1 comment:

  1. Peter TranJuly 27, 2024 at 11:33 PM

    https://photos.app.goo.gl/14Td7k7zri6JooKP7

    Connect DC and note that DC perpendicular FG
    We have angle(ADC)= 90+ angle (B)/2
    And angle (JDC)= 180-(90+^B/2)= 90- ^(B)/2
    So angle (DJH)= 90-angle(JDC)= ^(B)/2= angle (DBH)
    So B, D, H, J are concyclic

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