MathDB
Multiple lines in a triangle

Source: 1971 AHSME Problem 28

April 23, 2014
geometrytrigonometryAMC

Problem Statement

Nine lines parallel to the base of a triangle divide the other sides each into 1010 equal segments and the area into 1010 distinct parts. If the area of the largest of these parts is 3838, then the area of the original triangle is
<spanclass=latexbold>(A)</span>180<spanclass=latexbold>(B)</span>190<spanclass=latexbold>(C)</span>200<spanclass=latexbold>(D)</span>210<spanclass=latexbold>(E)</span>240<span class='latex-bold'>(A) </span>180\qquad<span class='latex-bold'>(B) </span>190\qquad<span class='latex-bold'>(C) </span>200\qquad<span class='latex-bold'>(D) </span>210\qquad <span class='latex-bold'>(E) </span>240