Three Tangent Circles in a Rectangle | Find the Middle Radius

A GeoMethod walk-through of a tangent-circle geometry problem inside a tall rectangle. We build the auxiliary structure carefully, use tangency and Pythagoras, and reduce the problem to one clean radical equation. 00:00 Problem statement 00:54 Add tangency points 02:42 Track the centers 04:17 Connect tangent circles 04:49 Name the center gaps 06:09 Set up Pythagoras 06:48 First gap formula 07:36 Second gap formula 08:13 Use the rectangle width 09:13 One radical equation 10:22 Solve for the radius 11:22 Recap 12:04 Closing Keywords: three tangent circles in a rectangle, find the middle circle radius, circle tangent geometry problem, pythagorean theorem circle geometry, rectangle tangent circles, geometry proof with circles, GeoMethod geometry