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The vertices of a triangle determine a circle, called the circumcircle of the triangle. Show that...

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Basic Math

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    See Answer
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