Large and Obtuse
Geometry
Level
3
Find the number of obtuse isosceles triangles with integer sides and perimeter 2008.
Source: RMO Delhi 2008
The answer is 86.
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1 solution
2a^2<b^2 And 2a+b=2008 where a, b are integers Now a>2008/4=502 and 2a^2<(2008-2a^2) =》 a<589 Thus in totality we have 86 solutions