document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114027>Question 1114027</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 is the median to AB, compute the length of line segment HM. </SPAN>\n" );
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document.write( "(1) Use Heron's formula to find the area of the triangle.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+sqrt%2834%2A2%2A8%2A24%29+=+16%2Asqrt%2851%29 ALIGN=MIDDLE  ALT=\"A+=+sqrt%2834%2A2%2A8%2A24%29+=+16%2Asqrt%2851%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) Use the area of the triangle and the length of AB to find the length of CH.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Asqrt%2851%29+=+%281%2F2%29%2832%29%28CH%29 ALIGN=MIDDLE  ALT=\"16%2Asqrt%2851%29+=+%281%2F2%29%2832%29%28CH%29\"   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 lengths of CH and CB to find the length of BH.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BH%5E2+=+10%5E2-%28sqrt%2851%29%29%5E2+=+49 ALIGN=MIDDLE  ALT=\"BH%5E2+=+10%5E2-%28sqrt%2851%29%29%5E2+=+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 the lengths of BM and BH to find th length of HM.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2BHM+=+16 ALIGN=MIDDLE  ALT=\"7%2BHM+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=HM+=+9 ALIGN=MIDDLE  ALT=\"HM+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );