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If I have a triangle, and I wanted to place a circle with a given diameter that fits snuggly inside any one of the three angles, how can I find the x, y points of where the triangle and circle meet?

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    Follow-up question: http://math.stackexchange.com/questions/266554/finding-tangent-points-of-circle-inside-a-triangle2013-01-04

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As a hint: if the diameter is $d$ and the angle at a specific vertex is $\alpha$ then the distances from that vertex along each side is $ \frac{d}{2} \times \frac{1}{\tan\left(\frac{\alpha}{2}\right)}.$

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    @David When you write a follow-up question, like you did at http://math.stackexchange.com/questions/266554/finding-tangent-points-of-circle-inside-a-triangle , it's a good idea to link the questions to each other, as I did in comments. SE software detects intrasite links and puts them in the `Linked` sidebar on the right.2013-01-04