三边均为整厘米数,且最长边为11厘米的三角形有()个
问题描述:
三边均为整厘米数,且最长边为11厘米的三角形有()个
答
根据a+b>c的原则共有
(1,11,11)
(2,11,11)(2,10,11)
(3,11,11)(3,10,11)(3,9,11)
(4,11,11)(4,10,11)(4,9,11)(4,8,11)
(5,11,11)(5,10,11)(5,9,11)(5,8,11)(5,7,11)
(6,11,11)(6,10,11)(6,9,11)(6,8,11)(6,7,11)(6,6,11)
(7,11,11)(7,10,11)(7,9,11)(7,8,11)(7,7,11)
(8,11,11)(8,10,11)(8,19,11)(8,8,11)
(9,11,11)(9,10,11)(9,9,11)
(10,11,11)(10,10,11)
(11,11,11)
共36个