【SAT官方每日一题】7/25/12 Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.In trianglehttp://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_1.png , the length of side http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_2.png is http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_3.png and the length of side http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_4.png is http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_5.png. Which of the following could be the length of side http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_6.png?
A. http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_7.png
B. http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_8.png
C. http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_9.png
D. http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_17.png
E. http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_11.png
正确答案:D
解析:
By the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Therefore,http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_12.png, or http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_13.png. Thus,http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_14.png , which eliminates options (A), (B), and (C). Also by the Triangle Inequality, http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_15.png, or http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_16.png, which eliminates choice (E). Therefore, of the given choices, only choice (D), http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120726_17.png, could be the length of side.
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