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Ptolemy's Theorem

Ptolemy's Theorem states that in a cyclic quadrilateral, the sum of the products of the lengths of the pairs of opposite sides is equal to the product of the length of the two diagonals. In this video, Jacob uses Problem #5 from the 2023 AIME I: https://artofproblemsolving.com/wiki/... - This video was created entirely by the Mustang Math team. Mustang Math is a nonprofit organization of high school and college volunteers that are dedicated towards providing middle schoolers access to challenging, interesting, fun, and collaborative math competitions and resources! We are the organizers of the annual Mustang Math Tournament, run low-cost and high-quality mathematics tutoring and are also working on many new and exciting projects including a competition management platform, private tutoring, and this Youtube Channel! Check out our website here: https://www.mustangmath.com/ #maths #amc12 #aime #learning