Geometry Problems, Online Education
Online Geometry Problem 986: Triangle, Median, Midpoint, Equal Angles, 45 Degrees. Level: High School, College, Mathematics Education

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The figure below shows a triangle ABC with the median BD such that angles A and DBC are equal. If angle BDC is 45 degrees, find the measure of angle A. Try to use elementary geometry (Euclid's Elements.)

 

Geometry Problem 985: Triangle, Median, Midpoint, Equal Angles, 45 Degrees
 


 

Geometry problem solving is one of the most challenging skills for students to learn. When a problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given." ont>

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