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Square, Tangent, and Two Congruent & Tangent Circles

Author:
Tim Brzezinski
Topic:
Circle, Square
Creation of this applet was inspired by a problem posted on Twitter by Antonio Gutierrez . Feel free to change the size of the circles by moving point A or B. Goal: Prove that , where r = the radius of either circle. How can you formally prove what this applet informally illustrates?

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