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

Two intersecting circles have a common chord AB. The point C moves on the circumference of the circle C1. The straight lines CA and CB are extended to meet the circle C2 at E and F respectively.

As the point C moves what do you notice about the chord EF?

Give a proof of your conjecture.

 

Created with GeoGebra