# Equidistance and Circles for Triangles (VIDEO!)

Is it obvious that for any three points one can draw a circle through them? That is, is it true that every triangle sits perfectly inside some circle with all three of its vertices on that circle? How about the other way round? Is there always a circle that sits inside a triangle touching each of its three sides?

We use equidistance to swiftly show that the answers to both of these questions is yes!

Equidistance and Circles

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QUADRATICS, Permutations and Combinations, EXPLODING DOTS, and more!

Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)

CHECK OUT: www.gdaymath.com