# The Problem

Find the number of integer-sided isosceles obtuse-angled triangles with perimeter 2008.

**Cosine Rule:**If ABC is any triangle, \( \angle BAC = \theta \) then \( AB^2 + AC^2 – 2\times AB \times AC \times \cos \theta = BC^2 \) .**Pythagoras Theorem:**If ABC is a right angled triangle with \( \angle BAC = 90^o\) then \( AB^2 + AC^2 = BC^2 \)**Triangular Inequality:**Sum of two sides of a triangle is greater than the third side.

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