document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29004>Question 29004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the diagonals of a rhombus are 10 and 24.\r<BR>\n" );
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document.write( "(a) find a side of the rhombus<BR>\n" );
document.write( "(b) find the altitude of the rhombus </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15844 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rhombus is really an isosceles triangle plus its reflection on its base.<BR>\n" );
document.write( "The diagonals meet at right angles. They bisect eachother<BR>\n" );
document.write( "sides are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2+%2B+5%5E2+=+s%5E2 ALIGN=MIDDLE  ALT=\"12%5E2+%2B+5%5E2+=+s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144+%2B+25+%2B+s%5E2 ALIGN=MIDDLE  ALT=\"144+%2B+25+%2B+s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=169+=+s%5E2 ALIGN=MIDDLE  ALT=\"169+=+s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+13 ALIGN=MIDDLE  ALT=\"s+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "draw the figure, dropping an altitude from the 24 diagonal- call it a<BR>\n" );
document.write( "[1] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+a%5E2+=+13%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+a%5E2+=+13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[2] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%5E2+-+%2813+%2B+x%29%5E2+=+a%5E2 ALIGN=MIDDLE  ALT=\"24%5E2+-+%2813+%2B+x%29%5E2+=+a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute a^2 in [2] for a^2 in [1]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+24%5E2+-%2813+%2Bx%29%5E2+=+13%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+24%5E2+-%2813+%2Bx%29%5E2+=+13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+24%5E2+-+13%5E2+-26%2Ax+-x%5E2+=+13%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+24%5E2+-+13%5E2+-26%2Ax+-x%5E2+=+13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel both x^2 and multiply both sides by -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24%5E2+%2B13%5E2+%2B+26%2Ax+=+-13%5E2 ALIGN=MIDDLE  ALT=\"-24%5E2+%2B13%5E2+%2B+26%2Ax+=+-13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add +24^2 to both sides<BR>\n" );
document.write( "subtract 13^2 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26%2Ax+=+24%5E2+-+2%2A13%5E2 ALIGN=MIDDLE  ALT=\"+26%2Ax+=+24%5E2+-+2%2A13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26%2Ax+=+2%5E2%2A12%5E2+-+2%2A13%5E2 ALIGN=MIDDLE  ALT=\"+26%2Ax+=+2%5E2%2A12%5E2+-+2%2A13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13%2Ax+=+2%2A12%5E2+-+13%5E2 ALIGN=MIDDLE  ALT=\"+13%2Ax+=+2%2A12%5E2+-+13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13%2Ax+=+288+-+169 ALIGN=MIDDLE  ALT=\"+13%2Ax+=+288+-+169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2Ax+=+119 ALIGN=MIDDLE  ALT=\"13%2Ax+=+119\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9.15 ALIGN=MIDDLE  ALT=\"x+=+9.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now solve for a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+13%5E2+-%289.15%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+=+13%5E2+-%289.15%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+169+-+83.72 ALIGN=MIDDLE  ALT=\"a%5E2+=+169+-+83.72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+85.27 ALIGN=MIDDLE  ALT=\"a%5E2+=+85.27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+9.23 ALIGN=MIDDLE  ALT=\"a+=+9.23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );