MathDB

5

Part of 2016 German National Olympiad

Problems(1)

Interior angles in a cyclic quadrilateral with given sides

Source: Germany 2016 - Problem 5

6/19/2016
Let A,B,C,DA,B,C,D be points on a circle with radius rr in this order such that ∣AB∣=∣BC∣=∣CD∣=s|AB|=|BC|=|CD|=s and ∣AD∣=s+r|AD|=s+r. Find all possible values of the interior angles of the quadrilateral ABCDABCD.
geometrycyclic quadrilateraltrigonometryangle