document.write( "Question 1065525: What is the circumcenter of a triangle with a vertices of (2,4), (6,4), (2, 6)? \n" ); document.write( "

Algebra.Com's Answer #680696 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "This triangle is RIGHT-ANGLED.\r\n" );
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document.write( "The circumcenter of ANY right-angled triangle lies in the midpoint of its hypotenuse.\r\n" );
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document.write( "The hypotenuse has vertices (6,4) and (2,6).\r\n" );
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document.write( "Its midpoint is x = (6+2)/2 = 8/2 = 4  and  y = (4+6)/2 = 10/2 = 5.\r\n" );
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document.write( "Answer. The circumcenter is the point with the coordinates (x,y) = (4,5).\r\n" );
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\n" ); document.write( "\n" ); document.write( "For the fact that a circumcenter of a right-angled triangle is the midpoint of its hypotenuse, see the lesson\r
\n" ); document.write( "\n" ); document.write( " - Median drawn to the hypotenuse of a right triangle \r
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\n" ); document.write( "\n" ); document.write( "If you have questions or want to say \"thanks\", then please mention the ID number of this problem (# 1065525) in your response.\r
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