A-A+
In triangle ABC what is the length of AB? (1)
问题详情
In triangle ABC, what is the length of AB?
(1) The length of BC is 5 and the length of AC is 12.
(2) Angle C=90°.请帮忙给出正确答案和分析,谢谢!
参考答案
正确答案:C
C 解析:Statement (1) alone is tempting if you are familiar with the right triangles that tend to be tested over and over on the GMAT; however, we don't know from statement (1) that ABC is a right triangle, so we should cross off A and D.
With only statement (2), we certainly don't have enough information to answer the question, so B can be eliminated. Together, though, we can complete the picture of a right triangle with two known sides, which means we can figure out the third side using Pythagorean Theorem, and our answer is C. (Since the squares of the two legs add up to 169, the hypotenuse is 13.)