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任给一个三角形,我们已知三边中任意两边之和必大干第三边.直角三角形有勾股定理成立,即 c~2=a~2+b~2(其中 c 为斜边).而根据余弦定理,我们又可得{若 a、b、c 为锐角三角形三边 ca~2+b~2(c 为最长边)以上皆是我们已知的三边关系,下文将讨论 c~n 与 a~n+b~n
Given a triangle, we know that the sum of any two sides of the three sides must be greater than the third. The right triangle has the Pythagorean Theorem established, ie c~2=a~2+b~2 (where c is the hypotenuse). According to the cosine theorem, we can get {if a, b, c are three sides of an acute triangle ca~2+b~2 (c is the longest edge) Above are all known three-sided relations. The following will discuss c~n and a~n+b~n.