You may also like

problem icon

Weekly Problem 23 - 2008

A triangle has been drawn inside this circle. Can you find the length of the chord it forms?

Chords

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

digram

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.