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In the diagram below, given an
equilateral triangle ABC, D is an interior point. If
a2 = b2 +c2 prove that the measure of angle BDC is
equal to 150°.
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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."
HINTS:
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Pythagorean Theorem Converse
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Congruence of Triangles SAS
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The sum of the measures of the
three angles of a triangle is
180.
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