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  3. Is the perimeter of triangle ABC greater than 20?(1)BC-AC=10(2)the area of tan

Is the perimeter of triangle ABC greater than 20?(1)BC-AC=10(2)the area of tan

游客2025-02-27  36
问题 Is the perimeter of triangle ABC greater than 20?
(1)BC-AC=10
(2)the area of tangle ABC is 20.
选项 A、Statement (1) ALONE is sufficient, but statement (43) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (42) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (43) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(43)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案 A
解析 对于Statement (1)，由于三角形两边之差小于第三边，现在BC-AC=10，因此第三边AB＞10，而由于三角形两边之和大于第三边，因此BC+AC＞AB＞10，所以三角形的周长大于20。对于Statement (2)，三角形面积是20，无法确定周长。因此答案为A。
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