Question 1195525
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Usually and traditionally in  Geometry,  this statement is formulated in this  EQUIVALENT  form



        Three perpendicular bisectors of a triangle sides are concurrent,  in other words,  they intersect at one point.

        This intersection point is equidistant from the three triangle vertices and is the center of the circumscribed circle of the triangle.



For the proof,  see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Triangles/Perpendicular-bisectors-of-a-triangle-sides-are-concurrent.lesson>Perpendicular bisectors of a triangle sides are concurrent</A>

in this site.



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At this site, &nbsp;you have free of charge online textbook on Geometry

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> 

in this site.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Properties of triangles</U>".



Save the link to this online textbook together with its description


Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson


to your archive and use it when it is needed.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This textbook contains &nbsp;whole/(entire) &nbsp;standard high-school 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Geometry curriculum in its logical development from &nbsp;" a " &nbsp;to &nbsp;" Z ".



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Euclid retold online in English by me and in my own words, 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;as I remember it from my high school years.