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Viviani's Theorem states that for an equilateral triangle, the sum of the perpendicular distances from any interior point to the three sides of the triangle is constant and equal to the length of the triangle's altitude. In this video, Jacob uses Problem #25 from the 2020 MathCounts State Sprint: https://www.mathcounts.org/sites/defa... - 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/ #math #mathproblems #learning #mathcounts