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1

Part of 2012 National Olympiad First Round

Problems(1)

Turkish NMO First Round - 2012 Problem - 01 {Geometry}

Source:

7/1/2012
Find the perimeter of a triangle whose altitudes are 3,4,3,4, and 66.
<spanclass=′latex−bold′>(A)</span> 1235<spanclass=′latex−bold′>(B)</span> 1635<spanclass=′latex−bold′>(C)</span> 2035<spanclass=′latex−bold′>(D)</span> 2435<spanclass=′latex−bold′>(E)</span> None <span class='latex-bold'>(A)</span>\ 12\sqrt\frac35 \qquad <span class='latex-bold'>(B)</span>\ 16\sqrt\frac35 \qquad <span class='latex-bold'>(C)</span>\ 20\sqrt\frac35 \qquad <span class='latex-bold'>(D)</span>\ 24\sqrt\frac35 \qquad <span class='latex-bold'>(E)</span>\ \text{None}
geometryperimeterratioarea of a triangleHeron's formula