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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