Geometry Problems, Online Education

Problem 101. Equilateral Triangle, Pythagoras, Angles. High School, College

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°. View or post a solution.
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Equilateral triangle, Pythagoras. Elearning

HINTS:

  • Pythagorean Theorem Converse

  • Congruence of Triangles SAS

  • The sum of the measures of the three angles of a triangle is 180.

 

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