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In the figure below, given an
equilateral triangle ABC, D is an interior point. If
AD = 5, BD = 4, and CD = 3, find the area of triangle ABC.
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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."
USE
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,
where s is any side.