MathDB
Equilateral ABC, AD=8, BD = 13, DC=?

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April 28, 2009

Problem Statement

ABC ABC is an equilateral triangle. D D is a point inside ABC \triangle ABC such that AD \equal{} 8, BD \equal{} 13, and \angle ADC \equal{} 120^\circ. What is the length of DC DC?
<spanclass=latexbold>(A)</span> 12<spanclass=latexbold>(B)</span> 13<spanclass=latexbold>(C)</span> 14<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(E)</span> 16<span class='latex-bold'>(A)</span>\ 12 \qquad<span class='latex-bold'>(B)</span>\ 13 \qquad<span class='latex-bold'>(C)</span>\ 14 \qquad<span class='latex-bold'>(D)</span>\ 15 \qquad<span class='latex-bold'>(E)</span>\ 16