因为n>o
所以n^2+n < n^2+n+1/2
n+1/2 < n^2+n+1/2
又因为
(n^2+n)^2+(n+1/2)^2
=n^4+n^2+2nn^2+n^2+1/4+n
((n^2+n)+1/2)^2
=(n^2+n)^2+1/4+n^2+n
=n^4+n^2+2nn^2+n^2+1/4+n
=(n^2+n)^2+(n+1/2)^2
所以(n^2+n)^2+(n+1/2)^2=(n^2+n+1/2)^2
所以,这个三角形为RT三角形
勾股定理就好,自己试试
勾股定理就好,自己试试吧
YES