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There is only one possible circle that can be inscribed in any triangle because all of the sides of the triangle must touch the circle at some point. Also, there is only one "incenter" of each circle. The incenter is the center of an inscribed circle.

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11y ago
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11y ago

Only one to which all three sides are tangents. If you remove that requirement, then infinitely many.

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Q: How many different inscribed circles can be inscribed in a given triangle?
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