document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810599>Question 810599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find are of Triangle STU. It is a right triangle, I don't know how to do that on here. But the 'height' is missing, the hypotenuse is 12, and the base is 4. I did a^2 + 4^2 = 12^2 and get a^2 + 16=144<BR>\n" );
document.write( "So 144-16=128<BR>\n" );
document.write( "a^2=128<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28+128+%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28+128+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%2864%2A2%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%2864%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is 8<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28+2+%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. But  8*4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28+2%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 32 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28+2+%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the answer key says it's 16 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28+2+%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488267 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "the hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the base is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "you did <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+4%5E2+=+12%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+4%5E2+=+12%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....this is correct\r<BR>\n" );
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document.write( " and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+16=144 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >....also correct\r<BR>\n" );
document.write( "\n" );
document.write( "now move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the right side\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=144-16 ALIGN=MIDDLE  ALT=\"a%5E2+=144-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=128 ALIGN=MIDDLE  ALT=\"a%5E2+=128\"   DISABLED_style= \"max-width:90%; height:auto;\" >....find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a++=sqrt%28128%29 ALIGN=MIDDLE  ALT=\"a++=sqrt%28128%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a++=sqrt%282%2A64%29 ALIGN=MIDDLE  ALT=\"a++=sqrt%282%2A64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a++=sqrt%282%2A8%5E2%29 ALIGN=MIDDLE  ALT=\"a++=sqrt%282%2A8%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a++=8sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28a++=8sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....exact solution\r<BR>\n" );
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document.write( "you can find approximate value\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a++=8%2A1.4142135623730950488016887242097 ALIGN=MIDDLE  ALT=\"a++=8%2A1.4142135623730950488016887242097\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a++=11.313708498984760390413509793678 ALIGN=MIDDLE  ALT=\"a++=11.313708498984760390413509793678\"   DISABLED_style= \"max-width:90%; height:auto;\" >..round it\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a++=11.314 ALIGN=MIDDLE  ALT=\"a++=11.314\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the answer key says it's 16 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28+2+%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, that is not correct; check and see\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816sqrt+%28+2+%29%29%5E2+%2B+16=144 ALIGN=MIDDLE  ALT=\"%2816sqrt+%28+2+%29%29%5E2+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%5E2%2A2+%2B+16=144 ALIGN=MIDDLE  ALT=\"16%5E2%2A2+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256%2A2+%2B+16=144 ALIGN=MIDDLE  ALT=\"256%2A2+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=512+%2B+16=144 ALIGN=MIDDLE  ALT=\"512+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=528%3C%3E144 ALIGN=MIDDLE  ALT=\"528%3C%3E144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "let's check our solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288sqrt+%28+2+%29%29%5E2+%2B+16=144 ALIGN=MIDDLE  ALT=\"%288sqrt+%28+2+%29%29%5E2+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E2%2A2+%2B+16=144 ALIGN=MIDDLE  ALT=\"8%5E2%2A2+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2A2+%2B+16=144 ALIGN=MIDDLE  ALT=\"64%2A2+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128+%2B+16=144 ALIGN=MIDDLE  ALT=\"128+%2B+16=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144=144 ALIGN=MIDDLE  ALT=\"144=144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );