MathDB
P05 [Geometry] - Turkish NMO 1st Round - 2004

Source:

November 12, 2013
geometrytrigonometry

Problem Statement

If a triangle has side lengths a,b,ca,b,c where a≤2≤b≤3a\leq 2 \leq b \leq 3, what is the largest possible value of its area?
<spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 4<spanclass=′latex−bold′>(C)</span> 5<spanclass=′latex−bold′>(D)</span> 6<spanclass=′latex−bold′>(E)</span> None of above <span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 4 \qquad<span class='latex-bold'>(C)</span>\ 5 \qquad<span class='latex-bold'>(D)</span>\ 6 \qquad<span class='latex-bold'>(E)</span>\ \text{None of above}
Back to ProblemsView on AoPS