document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468907>Question 468907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The shortest leg of a triangle is 7 inches shorter than the other leg. The hypotenuse of this triangle is 13 inches. What are the lengths of the two legs of this triangle?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321707 by </B><A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><B>Tatiana_Stebko(1539)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><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=Tatiana_Stebko><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x - the shortest leg of a triangle<BR>\n" );
document.write( "The shortest leg of a triangle is 7 inches shorter than the other leg, then the other leg is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B7 ALIGN=MIDDLE  ALT=\"x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches. The hypotenuse of this triangle is 13 inches.<BR>\n" );
document.write( "Use the Pythagorean theorem <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B7%29%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B7%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%2Bx%5E2%2B14x%2B49=169 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B14x%2B49=169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B14x-120=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B14x-120=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x-60=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x-60=0\"   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-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A1%2A%28-60%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A1%2A%28-60%29+%29%29%2F%282%2A1%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+=+%28-7+%2B-+sqrt%28+289%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%28+289%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B17%29%2F2+=5 ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B17%29%2F2+=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+-17%29%2F2+=-12%3C0 ALIGN=MIDDLE  ALT=\"x+=+%28-7+-17%29%2F2+=-12%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > extraneous root<BR>\n" );
document.write( "the shortest leg of a triangle is 5 inches, the other leg is 5+7=12 inches<BR>\n" );
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