document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550143>Question 550143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has sides measuring 5 cm, 5 cm and 6 cm. A<BR>\n" );
document.write( "second triangle is drawn with sides 5 cm, 5 cm and x cm ,<BR>\n" );
document.write( "where x is a whole number other than 6 . If the two triangles<BR>\n" );
document.write( "have equal areas, what is the value of x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358518 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=358518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> think of the 5-5-6 triangle with the 6 side horizontal<BR>\n" );
document.write( "The area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%2A6%2Ah%5B1%5D+%7D%7D+where+%7B%7B%7Bh%5B1%5D ALIGN=MIDDLE  ALT=\"+%281%2F2%29%2A6%2Ah%5B1%5D+%7D%7D+where+%7B%7B%7Bh%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the height<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B1%5D+=+4+ ALIGN=MIDDLE  ALT=\"+h%5B1%5D+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the height is a leg of<BR>\n" );
document.write( "a 3-4-5 right triangle<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The 5-5-x triangle with x side horizontal<BR>\n" );
document.write( "The area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%2Ax%2Ah%5B2%5D+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%2Ax%2Ah%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%2A6%2Ah%5B1%5D+=+%281%2F2%29%2Ax%2Ah%5B2%5D+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%2A6%2Ah%5B1%5D+=+%281%2F2%29%2Ax%2Ah%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6h%5B1%5D+=+x%2Ah%5B2%5D+ ALIGN=MIDDLE  ALT=\"+6h%5B1%5D+=+x%2Ah%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A4+=+x%2Ah%5B2%5D+ ALIGN=MIDDLE  ALT=\"+6%2A4+=+x%2Ah%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+24%2Fh%5B2%5D+ ALIGN=MIDDLE  ALT=\"+x+=+24%2Fh%5B2%5D+\"   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+=+576%2F%28h%5B2%5D%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+576%2F%28h%5B2%5D%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=+%28h%5B2%5D%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28h%5B2%5D%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in terms of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5E2+=+%28x%2F2%29%5E2+%2B+%28h%5B2%5D%29%5E2+ ALIGN=MIDDLE  ALT=\"+5%5E2+=+%28x%2F2%29%5E2+%2B+%28h%5B2%5D%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=+%28h%5B2%5D%29%5E2+=+25+-+x%5E2%2F4+ ALIGN=MIDDLE  ALT=\"+%28h%5B2%5D%29%5E2+=+25+-+x%5E2%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2A%2825+-+x%5E2%2F4%29+=+576+ ALIGN=MIDDLE  ALT=\"+x%5E2%2A%2825+-+x%5E2%2F4%29+=+576+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25x%5E2+-+x%5E4%2F4+=+576+ ALIGN=MIDDLE  ALT=\"+25x%5E2+-+x%5E4%2F4+=+576+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E4+-+100x%5E2+%2B+2304+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E4+-+100x%5E2+%2B+2304+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+z+ ALIGN=MIDDLE  ALT=\"x%5E2+=+z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z%5E2+-+100z+%2B+2304+=+0+ ALIGN=MIDDLE  ALT=\"+z%5E2+-+100z+%2B+2304+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z%5E2+-+100z+%2B+2500+=+2500+-+2304+ ALIGN=MIDDLE  ALT=\"+z%5E2+-+100z+%2B+2500+=+2500+-+2304+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+z+-+50+%29%5E2+=+196+ ALIGN=MIDDLE  ALT=\"+%28+z+-+50+%29%5E2+=+196+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+-+50+=+14+ ALIGN=MIDDLE  ALT=\"+z+-+50+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+64+ ALIGN=MIDDLE  ALT=\"+z+=+64+\"   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+=+64+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+8+ ALIGN=MIDDLE  ALT=\"+x+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x is 8 cm<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+24%2Fh%5B2%5D+ ALIGN=MIDDLE  ALT=\"+x+=+24%2Fh%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+=+24%2Fh%5B2%5D+ ALIGN=MIDDLE  ALT=\"+8+=+24%2Fh%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B2%5D+=+3+ ALIGN=MIDDLE  ALT=\"+h%5B2%5D+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28h%5B2%5D%29%5E2+=+25+-+x%5E2%2F4+ ALIGN=MIDDLE  ALT=\"+%28h%5B2%5D%29%5E2+=+25+-+x%5E2%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%5E2+=+25+-+8%5E2%2F4+ ALIGN=MIDDLE  ALT=\"+3%5E2+=+25+-+8%5E2%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+25+-+64%2F4+ ALIGN=MIDDLE  ALT=\"+9+=+25+-+64%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+25+-+16+ ALIGN=MIDDLE  ALT=\"+9+=+25+-+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+9+ ALIGN=MIDDLE  ALT=\"+9+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%2A6%2Ah%5B1%5D+=+%281%2F2%29%2Ax%2Ah%5B2%5D+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%2A6%2Ah%5B1%5D+=+%281%2F2%29%2Ax%2Ah%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A4+=+8%2A3+ ALIGN=MIDDLE  ALT=\"+6%2A4+=+8%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+24+ ALIGN=MIDDLE  ALT=\"+24+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );