document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886>Question 886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The longer leg of a right triangle is 3 inches longer than x, the length of the shorter leg. The hypotenuse is 15 inches long. The following equation shows the relationship between the sides of the triangle.<BR>\n" );
document.write( "     <BR>\n" );
document.write( "          x^2+(x+3)^2=225\r<BR>\n" );
document.write( "\n" );
document.write( "  What is the length of the shorter leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296 by </B><A HREF=/tutors/aboutme.mpl?userid=usyim88hk><B>usyim88hk(158)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=usyim88hk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first of all, let's solve for (x+3)^2<BR>\n" );
document.write( "(x+3)(x+3)<BR>\n" );
document.write( "x(x+3)+3(x+3)<BR>\n" );
document.write( "x^2+3x+3x+9<BR>\n" );
document.write( "x^2+6x+9<BR>\n" );
document.write( "Then put this into the equation<BR>\n" );
document.write( "x^2+x^2+6x+9=225<BR>\n" );
document.write( "2x^2+6x+9=225<BR>\n" );
document.write( "Now subtract both sides by 225 to make both sides equal to zero<BR>\n" );
document.write( "2x^2+6x-216=0<BR>\n" );
document.write( "Use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=%28%28-6%2B-sqrt%28%28-6%29%5E2-4%282%29%28-216%29%29%29%2F%282%282%29%29%29+ ALIGN=MIDDLE  ALT=\"+x=%28%28-6%2B-sqrt%28%28-6%29%5E2-4%282%29%28-216%29%29%29%2F%282%282%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=%28%28-6%2B-sqrt%2836%2B1728%29%29%2F4%29+ ALIGN=MIDDLE  ALT=\"+x=%28%28-6%2B-sqrt%2836%2B1728%29%29%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=%28%28-6%2B-42%29%2F4%29+ ALIGN=MIDDLE  ALT=\"+x=%28%28-6%2B-42%29%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=(-48/4) or (36/4)<BR>\n" );
document.write( "x=-12 or 9<BR>\n" );
document.write( "Since length cannot be negative number, -12 is not the answer, so 9 is the length of the shorter leg.<BR>\n" );
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document.write( "check: 9^2+(9+3)^2=225<BR>\n" );
document.write( "            81+144=225<BR>\n" );
document.write( "               225=225 (correct!!!) </SPAN>\n" );
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