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OG10上的这道题有没有问题?

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楼主
发表于 2008-10-7 16:24:00 | 只看该作者

OG10上的这道题有没有问题?

11. In ΔPQR, if PQ = x + 2, and PR = y, which of the three angles of ΔPRQ has the greatest
degree measure?
(1) y = x + 3
(2) x = 2


Explanation:
In any triangle, the largest angle is opposite the longest side. To determine the longest side it
suffices to determine whether y > x + 2. Since x + 3 > x + 2, it follows from (1) that y > x + 2.
Statement (1) alone is therefore sufficient. From (2) it follows that PQ = 2 and QR = 4. Thus, y can
be any value between 2 and 6; it follows that y > x, but it cannot be concluded that y > x + 2.
Statement (2) alone is therefore not sufficient. Therefore, statement (1) ALONE is sufficient, but
statement (2) alone is not sufficient to answer the question.

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