MathDB

17

Part of 2001 National Olympiad First Round

Problems(1)

P17 [Geometry] - Turkish NMO 1st Round - 2001

Source:

4/20/2014
Let ABCABC be a triangle such that midpoints of three altitudes are collinear. If the largest side of triangle is 1010, what is the largest possible area of the triangle?
<spanclass=′latex−bold′>(A)</span> 20<spanclass=′latex−bold′>(B)</span> 25<spanclass=′latex−bold′>(C)</span> 30<spanclass=′latex−bold′>(D)</span> 40<spanclass=′latex−bold′>(E)</span> 50 <span class='latex-bold'>(A)</span>\ 20 \qquad<span class='latex-bold'>(B)</span>\ 25 \qquad<span class='latex-bold'>(C)</span>\ 30 \qquad<span class='latex-bold'>(D)</span>\ 40 \qquad<span class='latex-bold'>(E)</span>\ 50
geometry