# Isosceles Triangles in a Circle

Geometry Level 5

An isosceles triangle with base $$a$$ and the lateral side $$b$$, and an isosceles triangle with base $$b$$ and the lateral side a are inscribed in a circle of radius $$R$$, given that $$a \neq b$$, then evaluate $$\frac{ab}{R^{2}}$$ .

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