Fifth circle theorem: 'Tangent lengths'

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Tangent lengths

Fifth circle theorem:

What can you say about the lengths of the two tangents CD and CE?

You can use the cursor to move point C, and you can change the size of the circle by moving point O or X.

If you need it, this theorem is set out here

and all the theorems are summarised here

Tim Devereux, Created with GeoGebra