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Problem 132.Triangle,
60, Orthocenter, Congruence, Midpoint.
Level: High School, SAT Prep, College |
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In the figure below, given a triangle
ABC of angle A = 60º and orthocenter H (intersection of the
three altitudes). Let be M the midpoint of AH and CD
respectively. Prove that BD = 2.AH.
Post a comment or solution.
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FACTS AND HINTS:
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."
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