Distance between Inner and Outer Soddy Centers

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Given a triangle , let be the circumradius, the inradius, the semiperimeter, the outer Soddy center and the inner Soddy center.

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Define (the line is shown in red).

Then

.

You can drag the points , and .

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Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA


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