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Theorem (Three Tangents): Let a non-degenerate plane conic touch the sides BC, CA, and AB of...

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Advance Math

Theorem (Three Tangents): Let a non-degenerate plane conic touchthe sides BC, CA, and AB of a triangle ABC in R2 at thepoints P, Q, and R respectively. Then AP, BQ, and CR areconcurrent.

Please provide a proof of the Three Tangents Theorem withoutreference to Ceva's Theorem.

Hint: Consider the Three Point Theorem

Answer & Explanation Solved by verified expert
4.1 Ratings (845 Votes)
ANSWERGiven thatA tangential quadrilateral ABCD is a closed figure of fourstraight sides that are tangent to a given circle CEquivalently the circle C is inscribed in thequadrilateral ABCD By the Pitot    See Answer
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