document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105751>Question 1105751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle XYZ, point M is the centroid. If XM = 8 which is the length of MA?\r<BR>\n" );
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document.write( "Image of the figure - https://prnt.sc/hvnyfm<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720646 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52944)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<U>Answer</U>. MA = 4.\r<BR>\n" );
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document.write( "<U>Solution</U>\r<BR>\n" );
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document.write( "In any triangle, the medians are concurrent, which means that they have common intersection point, called the <U>centroid</U>. \r\n" );
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document.write( "The centroid divides each median in the ratio 2:1 counting from the corresponding vertex.\r\n" );
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document.write( "For the proof of this geometric fact see the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/Medians-of-a-triangle-are-concurrent.lesson>Medians of a triangle are concurrent</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook on Geometry\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook under the topic &nbsp;\"<U>Properties of triangles</U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in GEOMETRY<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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document.write( "By the way, in your plot  XA  does not seem to be a median . . . \r<BR>\n" );
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