MathDB
Congruent Circumcircles (really this time!)

Source:

March 9, 2008
geometrycircumcircle

Problem Statement

In a triangle ABC ABC, take point D D on BC BC such that DB \equal{} 14, DA \equal{} 13, DC \equal{} 4, and the circumcircle of ADB ADB is congruent to the circumcircle of ADC ADC. What is the area of triangle ABC ABC?
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