MathDB
Special Lines in a Triangle

Source:

June 7, 2009

Problem Statement

The number of distinct lines representing the altitudes, medians, and interior angle bisectors of a triangle that is isosceles, but not equilateral, is: <spanclass=latexbold>(A)</span> 9<spanclass=latexbold>(B)</span> 7<spanclass=latexbold>(C)</span> 6<spanclass=latexbold>(D)</span> 5<spanclass=latexbold>(E)</span> 3 <span class='latex-bold'>(A)</span>\ 9\qquad <span class='latex-bold'>(B)</span>\ 7\qquad <span class='latex-bold'>(C)</span>\ 6\qquad <span class='latex-bold'>(D)</span>\ 5\qquad <span class='latex-bold'>(E)</span>\ 3