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Problem 127.
Triangle, Centroid, Incenter, Parallel, Proportions.
Level: High School, SAT Prep, College |
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In the figure below, given a triangle
ABC of sides AB = c, BC = a, and c > a. Let be I the incenter
and G the centroid. If GI is parallel to AC, prove that:
 .
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."
See:
Problem 126.
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Email | By Antonio Gutierrez
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