MathDB
Cyclic quadrilateral

Source: Baltic Way 1992 #17

February 18, 2009
geometryangle bisectorgeometry proposed

Problem Statement

Quadrangle ABCD ABCD is inscribed in a circle with radius 1 in such a way that the diagonal AC AC is a diameter of the circle, while the other diagonal BD BD is as long as AB AB. The diagonals intersect at P P. It is known that the length of PC PC is 2/5 2/5. How long is the side CD CD?
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