Finding a Perpendicular Point on a Tangent Line at the Center of a Circle

[bolzano]

Can someone please explain how i can find a point X on the tangent line such that AX and XC are perpendicular (A is the centre)? Thanks : )

Here's a diagram: http://img856.imageshack.us/i/62852104.png/

 

[tiny-tim]

hi bolzano!

hint: another circle

 

[bolzano]

hi bolzano!

hint: another circle

Hi tiny-tim :)

Do i draw a line between A and C and use it as diameter? :)

 

[tiny-tim]

Yup!

 

[bolzano]

Thanks a lot! :)