Difference between revisions of "1951 AHSME Problems/Problem 29"
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==Problem== | ==Problem== | ||
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| + | Of the following sets of data the only one that does not determine the shape of a triangle is: | ||
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| + | <math> \textbf{(A)}\ \text{the ratio of two sides and the inc{}luded angle}\\ \qquad\textbf{(B)}\ \text{the ratios of the three altitudes}\\ \qquad\textbf{(C)}\ \text{the ratios of the three medians}\\ \qquad\textbf{(D)}\ \text{the ratio of the altitude to the corresponding base}\\ \qquad\textbf{(E)}\ \text{two angles} </math> | ||
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==Solution== | ==Solution== | ||
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| + | The answer is <math>\boxed{\textbf{(D)}}</math>. The ratio of the altitude to the base is insufficient to determine the shape of a triangle; you also need to know the ratio of the two segments into which the altitude divides the base. | ||
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== See Also == | == See Also == | ||
{{AHSME 50p box|year=1951|num-b=28|num-a=30}} | {{AHSME 50p box|year=1951|num-b=28|num-a=30}} | ||
Revision as of 14:39, 19 April 2014
Problem
Of the following sets of data the only one that does not determine the shape of a triangle is:
Solution
The answer is 
. The ratio of the altitude to the base is insufficient to determine the shape of a triangle; you also need to know the ratio of the two segments into which the altitude divides the base.
See Also
| 1951 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 28 |
Followed by Problem 30 | |
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| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
