document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734301>Question 734301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a right triangle angle B is 90 degrees and side AB is 1 cm longer than side BC. If the perimeter of the triangle is 70 cm.Find the length.<BR>\n" );
document.write( "Can you please help me out? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448867 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</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=448867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB ALIGN=MIDDLE  ALT=\"AB\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+1cm ALIGN=MIDDLE  ALT=\"x+%2B+1cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC ALIGN=MIDDLE  ALT=\"BC\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xcm ALIGN=MIDDLE  ALT=\"xcm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC ALIGN=MIDDLE  ALT=\"AC\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+%2B+%28x%2B1%29%5E2%29cm ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+%2B+%28x%2B1%29%5E2%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It follows that: given perimeter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70cm ALIGN=MIDDLE  ALT=\"70cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28x%2B1%29+%2B+sqrt%282%2Ax%5E2+%2B+2x+%2B+1%29+=+70 ALIGN=MIDDLE  ALT=\"x+%2B+%28x%2B1%29+%2B+sqrt%282%2Ax%5E2+%2B+2x+%2B+1%29+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69+-+2x+=+sqrt%282%2Ax%5E2+%2B+2x+%2B+1%29 ALIGN=MIDDLE  ALT=\"69+-+2x+=+sqrt%282%2Ax%5E2+%2B+2x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-276x+%2B+69%5E2+=+2x%5E2+%2B+2x+%2B+1 ALIGN=MIDDLE  ALT=\"4x%5E2+-276x+%2B+69%5E2+=+2x%5E2+%2B+2x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+278x+%2B+4760+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+-+278x+%2B+4760+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-119%29%28x-20%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-119%29%28x-20%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-119%29=0 ALIGN=MIDDLE  ALT=\"%28x-119%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+119 ALIGN=MIDDLE  ALT=\"x+=+119\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and it is not a solution for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28x%2B1%29+%2B+sqrt%282%2Ax%5E2+%2B+2x+%2B+1%29+=+70 ALIGN=MIDDLE  ALT=\"x+%2B+%28x%2B1%29+%2B+sqrt%282%2Ax%5E2+%2B+2x+%2B+1%29+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x ALIGN=MIDDLE  ALT=\"+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=70+cm ALIGN=MIDDLE  ALT=\"P=70+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-20%29=0 ALIGN=MIDDLE  ALT=\"%28x-20%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+20 ALIGN=MIDDLE  ALT=\"x+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+20+cm ALIGN=MIDDLE  ALT=\"x+=+20+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC ALIGN=MIDDLE  ALT=\"BC\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20cm ALIGN=MIDDLE  ALT=\"20cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB ALIGN=MIDDLE  ALT=\"AB\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21cm ALIGN=MIDDLE  ALT=\"21cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC ALIGN=MIDDLE  ALT=\"AC\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29cm ALIGN=MIDDLE  ALT=\"29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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