1. ## More of those dreaded circles

Yup, another circle question and it seems as though the question list is never-ending. Well, I'm stuck. Again... but here goes
TA and TB are tangents to the circle. C is a point on the circle. P, Q and R are the feet of the perpendicular from C to the three sides of triangle ABT
a) Name three groups of concyclic points (got this)
b) hence show that angle CRQ = angle CQP and angle CQR = angle CQP
c) if QC = 9cm and PC = 10cm, find CR.

Any help appreciated!

2. Originally Posted by Geometor
Yup, another circle question and it seems as though the question list is never-ending. Well, I'm stuck. Again... but here goes:
a) Name three groups of concyclic points (got this)
b) hence show that angle CRQ = angle CQP and angle CQR = angle CQP
c) if QC = 9cm and PC = 10cm, find CR.

Any help appreciated!
Yikes! Where is C?

3. thank you for submitting that error
the correct picture has now been put in

4. Originally Posted by Geometor
thank you for submitting that error
the correct picture has now been put in
You are welcome

You have not mentioned how you have chosen C. Is it >any< point inside the triangle. Is it some special point?

5. aha I've snuck in the description too