# 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 \( \frac{ab}{R^{2}}\) .