document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180505>Question 1180505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> vertices of any triangles are concyclic.prove? </SPAN>\n" );
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document.write( "When it comes to a set of three points, we have a nice theorem that allows us to determine (or prove) whether or not the three points are concyclic. That theorem states the following:\r<BR>\n" );
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document.write( "Theorem: <BR>\n" );
document.write( "Any three points that are non-collinear (meaning they don't lie on the same line) are concyclic.\r<BR>\n" );
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document.write( "This is because if we connect any three non-collinear points with line segments, we form a triangle, and all triangles can be inscribed in a circle.\r<BR>\n" );
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document.write( "Three points are trivially concyclic since three noncollinear points determine a circle (i.e., every triangle has a circumcircle).\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://ibb.co/CnHVKn6\"><IMG STYLE=\"max-width:80%;\" src=\"https://i.ibb.co/CnHVKn6/triangle.png\" alt=\"triangle\" border=\"0\"></a>\r<BR>\n" );
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