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Angle to Chord

Weekly Problem 23 - 2008
A triangle has been drawn inside this circle. Can you find the length of the chord it forms?


Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2


The theorem about the angle subtended by a chord of a circle is used three times and also a theorem about the exterior angle of a triangle.

Join AF? If your conjecture is true what do you need to prove about the angle EAF?

See the article on Cyclic Quadrilaterals.