Geometry Problems, Online Education

Geometry Problem 132 Challenge: Prove the Relationship Between Triangle, 60-Degree Angle, Orthocenter, Congruence, and Midpoint.

Given the triangle ABC in the figure below with angle A = 60 degrees and orthocenter H (intersection of the three altitudes), let M be the midpoint of AH and CD, respectively. The task is to prove that BD = 2 × AH.
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Math Problem 132
 

Problem 132
Triangle, sixty degrees,
Orthocenter, congruence,
Prove their midpoint bond.

 


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