MathDB
Determining the Shape of a Triangle

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February 1, 2009
ratio

Problem Statement

Of the following sets of data the only one that does not determine the shape of a triangle is: <spanclass=′latex−bold′>(A)</span> the ratio of two sides and the included angle<spanclass=′latex−bold′>(B)</span> the ratios of the three altitudes<spanclass=′latex−bold′>(C)</span> the ratios of the three medians<spanclass=′latex−bold′>(D)</span> the ratio of the altitude to the corresponding base<spanclass=′latex−bold′>(E)</span> two angles <span class='latex-bold'>(A)</span>\ \text{the ratio of two sides and the included angle} \\ \qquad<span class='latex-bold'>(B)</span>\ \text{the ratios of the three altitudes} \\ \qquad<span class='latex-bold'>(C)</span>\ \text{the ratios of the three medians} \\ \qquad<span class='latex-bold'>(D)</span>\ \text{the ratio of the altitude to the corresponding base} \\ \qquad<span class='latex-bold'>(E)</span>\ \text{two angles}
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