MathDB
Triangle Divided Into 8 Parts

Source:

June 8, 2009
ratiogeometrysimilar triangles

Problem Statement

Side AC AC of right triangle ABC ABC is divide into 8 8 equal parts. Seven line segments parallel to BC BC are drawn to AB AB from the points of division. If BC \equal{} 10, then the sum of the lengths of the seven line segments: <spanclass=latexbold>(A)</span> cannot be found from the given information<spanclass=latexbold>(B)</span> is 33<spanclass=latexbold>(C)</span> is 34<spanclass=latexbold>(D)</span> is 35<spanclass=latexbold>(E)</span> is 45 <span class='latex-bold'>(A)</span>\ \text{cannot be found from the given information} \qquad <span class='latex-bold'>(B)</span>\ \text{is }{33}\qquad <span class='latex-bold'>(C)</span>\ \text{is }{34}\qquad <span class='latex-bold'>(D)</span>\ \text{is }{35}\qquad <span class='latex-bold'>(E)</span>\ \text{is }{45}