【SAT官方每日一题】7/25/12 Mathematics > Standard Multiple Choice

滚吧肥汤圆UID: 3272378

Read the following SAT test question and then click on a button to select your answer.

In triangle , the length of side is and the length of side is . Which of the following could be the length of side ?
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4 {) Q" g& _! G+ r2 G  [

) t/ Y! ]9 q4 Z- f: ]- u. HA.

. U% b' c# o/ X% h7 K1 ]# UB.

0 f/ ]3 O; L* n1 dC.
& w) u- Z6 C1 w1 [+ x
D.
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E.  
  V! X6 D3 ]2 c& `( O* o/ S
正确答案:D

解析:
" z, X3 _# [2 S
+ F, _; B8 S* O0 R# ?- CBy 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,, or . Thus, , which eliminates options (A), (B), and (C). Also by the Triangle Inequality, , or , which eliminates choice (E). Therefore, of the given choices, only choice (D), , could be the length of side.
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