题目信息
In the figure above, segments
and 
represent two positions of the same ladder leaning against the side 
of a wall. The length of 
is how much greater than the length of 
?
A:Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C:BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D:EACH statement ALONE is sufficient.
E:Statements (1) and (2) TOGETHER are NOT sufficient.
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已选答案：
正确答案：
D:EACH statement ALONE is sufficient.
Geometry Triangles
Note that TU = RS because they both represent the length of the same ladder. Determine TV − RV.
It is given that TU = 10. Since ΔTVU is a 45°−45°−90° triangle, it follows that TV =
. Since RS = TU = 10 and ΔRVS is a 30°−60°−90° triangle, it follows that RV = 5. Therefore, TV − RV can be determined; SUFFICIENT.
It is given that RV = 5. Then RS = 10 since ΔRVS is a 30°−60°−90° triangle. Since RS = TU, it follows that TU = 10. This is the same information as in (1); SUFFICIENT.
The correct answer is D;each statement alone is sufficient.
Note that TU = RS because they both represent the length of the same ladder. Determine TV − RV.
It is given that TU = 10. Since ΔTVU is a 45°−45°−90° triangle, it follows that TV =
. Since RS = TU = 10 and ΔRVS is a 30°−60°−90° triangle, it follows that RV = 5. Therefore, TV − RV can be determined; SUFFICIENT.
It is given that RV = 5. Then RS = 10 since ΔRVS is a 30°−60°−90° triangle. Since RS = TU, it follows that TU = 10. This is the same information as in (1); SUFFICIENT.The correct answer is D;each statement alone is sufficient.
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