IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

arvind.b

well consider it this way

let the equal sides be of length 1 .. then we have only one choice for the non-equal side, that would be 1. Since if we take 2 then triangle inequality will mess things up

if equal sides are of length 2 .. third side can either be 1 or 2 or 3... basically until we hit 2*2.

if equal sides are of length 3 .. third side can be 1 or 2 or 3 or 4 or 5.

now this logic continues until we hit 998 ..since 2*998=1996 we can basically pick anything for the third side from 1 to 1994

So it looks like the sum should be 1+3+5+...1993+ 997*1994

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