What is the length of the hypotenuse of △ABC?
(1)The lengths of the three sides of △ABC are consecutive even integers .
(2)The hypotenuse of △ABC is 4 units longer than the shorter leg.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
这个题比较坑。题干中的hypotenuse的意思是“直角三角形的斜边”,所以相当于告诉了我们三角形ABC是直角三角形。
shorter leg指的是更短的直角边。因为斜边是hypotenuse,两个直角边都是leg,shorter leg自然就是那个最短的了。
谢谢老师!登录 或 注册 后可以参加讨论
我的内心百感交集。。。
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条件1充足
条件2最终求出一个表达式有两个未知数,不充分,所以不选
(2)x2+y2=(x+4)2两个未知数
Hypotenuse是特指直角三角形的斜边登录 或 注册 后可以参加讨论