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Problem 109.
Angle, Right Triangle, Cevian, 45 Degrees.
Level: High School, SAT Prep, College |
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In the figure below, given a
right triangle ABC, BD is a cevian to AC, AB = CD, angle ABD = a
, and angle A = 2a. Prove that
x = 45º.
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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