MathDB
Side length of Rhombus

Source:

January 11, 2009
geometryrhombus

Problem Statement

A rhombus is inscribed in triangle ABC ABC in such a way that one of its vertices is A A and two of its sides lie along AB AB and AC AC. If \overline{AC} \equal{} 6 inches, \overline{AB} \equal{} 12 inches, and \overline{BC} \equal{} 8 inches, the side of the rhombus, in inches, is: <spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 3<spanclass=latexbold>(C)</span> 312<spanclass=latexbold>(D)</span> 4<spanclass=latexbold>(E)</span> 5 <span class='latex-bold'>(A)</span>\ 2 \qquad <span class='latex-bold'>(B)</span>\ 3 \qquad <span class='latex-bold'>(C)</span>\ 3 \frac {1}{2} \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 5