题目信息
If the lengths of the legs of a right triangle are integers, what is the area of the triangular region?
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.
参考答案及共享解析
共享解析来源为网络权威资源、GMAT高分考生等； 如有疑问，欢迎在评论区提问与讨论
本题耗时：
已选答案：
正确答案：
B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Geometry Triangles
Let x represent one leg of the triangle. Then the other leg is
and the area is 
. Since the value of x can be any positive multiple of 4, the area cannot be determined; NOT sufficient.
Given that the lengths of the legs are the integers a and b and the length of the hypotenuse is 5, it follows that a 2 + b 2 = 25, where 1 ≤ a ≤ 4 and 1 ≤ b ≤ 4. The only pair of integers that meet these conditions are 3 and 4, so the area of the triangular region is 6; SUFFICIENT.
The correct answer is B;statement 2 alone is sufficient.
Let x represent one leg of the triangle. Then the other leg is
and the area is . Since the value of x can be any positive multiple of 4, the area cannot be determined; NOT sufficient.
Given that the lengths of the legs are the integers a and b and the length of the hypotenuse is 5, it follows that a 2 + b 2 = 25, where 1 ≤ a ≤ 4 and 1 ≤ b ≤ 4. The only pair of integers that meet these conditions are 3 and 4, so the area of the triangular region is 6; SUFFICIENT.The correct answer is B;statement 2 alone is sufficient.
加入收藏
在线答疑
题目来源
