Question 6
In this paper, let $[x]$ denote the greatest integer not exceeding x. For examples, $[5]=5$, $[2.8]=2$, and $[-2.3]=-3$.
Let m be the number of those triangles whose longest side is 2016 and the other two sides are also of integral length. Determine $[m/1000]$.
(Note: Two congruent triangles are considered to be the same triangle.)
Let m be the number of those triangles whose longest side is 2016 and the other two sides are also of integral length. Determine $[m/1000]$.
(Note: Two congruent triangles are considered to be the same triangle.)