This should be easy! Right? Part - 3Geometry Level 5
The figure above represents two circles where \(AB=5\) units, \(\angle BAC=30^\circ\), \(\angle BMD=135^\circ\), \(MD = 3.3\) units and \(N\) is the mid point of \(MD\).
The equation above holds true for positive integers \(a,b,c,d\) and \(e\) with \(b,d\) and \(e\) square-free, \(a>b\), and \(a,b\) are coprime.
Clarification: \(MD\) a diameter of the smaller circle. \(M\) is the centre of the larger circle. The two circles tangential at \(D\).