MathDB
P05 [Geometry] - Turkish NMO 1st Round - 2002

Source:

August 7, 2014
geometryinequalitiesblogstriangle inequality

Problem Statement

The lengths of two altitudes of a triangles are 88 and 1212. Which of the following cannot be the third altitude?
<spanclass=latexbold>a)</span> 4<spanclass=latexbold>b)</span> 7<spanclass=latexbold>c)</span> 8<spanclass=latexbold>d)</span> 12<spanclass=latexbold>e)</span> 23 <span class='latex-bold'>a)</span>\ 4 \qquad<span class='latex-bold'>b)</span>\ 7 \qquad<span class='latex-bold'>c)</span>\ 8 \qquad<span class='latex-bold'>d)</span>\ 12 \qquad<span class='latex-bold'>e)</span>\ 23