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# 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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#### RMO 2008

RMO 2008 problems, discussions and other resources. Read More