The ratio of the two legs of a right triangle is 1 to 7. If the length if the hy

游客2025-02-23 25

问题 The ratio of the two legs of a right triangle is 1 to 7. If the length if the hypotenuse of the triangle is

, then the perimeter of the triangle is between

选项 A、31 and 32
B、30 and 31
C、29 and 30
D、28 and 29
E、27 and 28

答案 B

解析由勾股定理，直角三角形三边之比为1：7：

。已知斜边为

，那么两个直角边为2和14，周长为16+

≈30.14，故答案为B。

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