Go Geometry Problem Problem 312: Cyclic Quadrilateral, Side extensions, Tangents

In the figure below, ABCD is an inscribed quadrilateral in a circle O. The extensions of sides AB and DC meet at point E, and the extensions of sides AD and BC meet at point F. EG and FH are tangent to the circle O. If EG = a, FH = b and EF = c, prove that Cyclic quadrilateral: conclusion.


 

Problem about circle, cyclic quadrilateral, tangen, secant
 


Suggestion: See Problem 915



 

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