MathDB
Area Relationship

Source:

November 23, 2011
geometry

Problem Statement

Let AA be the area of the triangle with sides of length 25,2525, 25, and 3030. Let BB be the area of the triangle with sides of length 25,25,25, 25, and 4040. What is the relationship between AA and BB?
<spanclass=′latex−bold′>(A)</span>A=916B<spanclass=′latex−bold′>(B)</span>A=34B<spanclass=′latex−bold′>(C)</span>A=B<spanclass=′latex−bold′>(D)</span>A=43B<spanclass=′latex−bold′>(E)</span>A=169B <span class='latex-bold'>(A)</span> A = \dfrac9{16}B \qquad<span class='latex-bold'>(B)</span> A = \dfrac34B \qquad<span class='latex-bold'>(C)</span> A=B \qquad<span class='latex-bold'>(D)</span> A = \dfrac43B \\ \\ <span class='latex-bold'>(E)</span>A = \dfrac{16}9B
Back to ProblemsView on AoPS