document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177732>Question 1177732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle ABC, length AB = 32, length BC = 10, and length AC = 26. If line segment CH is the altitude to segment AB and segment CM us the median to AB. What is the length of line segment HM? </SPAN>\n" );
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document.write( "(1) Use Heron's formula to find the area of triangle ABC.<br><BR>\n" );
document.write( "The semiperimeter is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2832%2B26%2B10%29%2F2+=+34 ALIGN=MIDDLE  ALT=\"%2832%2B26%2B10%29%2F2+=+34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The area is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2834%29%2834-32%29%2834-26%29%2834-10%29%29+=+sqrt%28%2834%29%282%29%288%29%2824%29%29+=+16%2Asqrt%2851%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) Use the area and the base AB to find the height CH.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Asqrt%2851%29+=+32%28CH%29%2F2 ALIGN=MIDDLE  ALT=\"16%2Asqrt%2851%29+=+32%28CH%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CH+=+sqrt%2851%29 ALIGN=MIDDLE  ALT=\"CH+=+sqrt%2851%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) Use the height CX and the length of BC to find the length of BH.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28BH%29%5E2+=+10%5E2-%28sqrt%2851%29%29%5E2+=+100-51+=+49 ALIGN=MIDDLE  ALT=\"%28BH%29%5E2+=+10%5E2-%28sqrt%2851%29%29%5E2+=+100-51+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BH+=+7 ALIGN=MIDDLE  ALT=\"BH+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(4) Use BH and BM to find HM.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=HM+=+16-7+=+9 ALIGN=MIDDLE  ALT=\"HM+=+16-7+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: HM = 9<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );