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In the figure below, given a
triangle ABC, S is the area of contact triangle DEF of the incircle, S1 is the area of
triangle ADF, and S2 is the area of triangle DFC. Prove that:
Post your solutions or ideas in the
blog.
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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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