The vertices of a triangle determine a circle, called the
circumcircle of the triangle. Show that...
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The vertices of a triangle determine a circle, called thecircumcircle of the triangle. Show that if P isany point on the circumcircle of a triangle, and X,Y, and Z are the feet of the perpendiculars fromP to the sides of the triangle, then X,Y and Z are collinear.
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In particular consider point on thecircumcircle of triangle as shown belowWe want to find a point on each line containing segments and that are nearestto To determinethe location these points we construct three lines through that areperpendicular to the three sides of the triangle
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