document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923837>Question 923837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right-angled triangle has an area of 30cm^2. The width of the triangle is n+3cm. The height is 4cm less than the width. Find the value of n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560371 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=560371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A right-angled triangle has an area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30cm%5E2 ALIGN=MIDDLE  ALT=\"30cm%5E2\"   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=A=%28width%2Aheight%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28width%2Aheight%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28width%2Aheight%29%2F2=30cm%5E2 ALIGN=MIDDLE  ALT=\"%28width%2Aheight%29%2F2=30cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if the width of the triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=n%2B3cm ALIGN=MIDDLE  ALT=\"W=n%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4cm ALIGN=MIDDLE  ALT=\"4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > less than the width, then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=n%2B3cm ALIGN=MIDDLE  ALT=\"W=n%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=n%2B3cm-4cm ALIGN=MIDDLE  ALT=\"h=n%2B3cm-4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=n-1cm ALIGN=MIDDLE  ALT=\"h=n-1cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28width%2Aheight%29%2F2=30 ALIGN=MIDDLE  ALT=\"%28width%2Aheight%29%2F2=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=n%2B3cm ALIGN=MIDDLE  ALT=\"W=n%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=n-1cm ALIGN=MIDDLE  ALT=\"h=n-1cm\"   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=%28%28n%2B3%29%2A%28n-1%29%29%2F2=30cm%5E2 ALIGN=MIDDLE  ALT=\"%28%28n%2B3%29%2A%28n-1%29%29%2F2=30cm%5E2\"   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=%28n%2B3cm%29%2A%28n-1cm%29=60cm%5E2 ALIGN=MIDDLE  ALT=\"%28n%2B3cm%29%2A%28n-1cm%29=60cm%5E2\"   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=n%5E2-n%2Acm%2B3n%2Acm-3cm%5E2=60 ALIGN=MIDDLE  ALT=\"n%5E2-n%2Acm%2B3n%2Acm-3cm%5E2=60\"   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=n%5E2%2B2n%2Acm-3cm%5E2-60cm%5E2=0 ALIGN=MIDDLE  ALT=\"n%5E2%2B2n%2Acm-3cm%5E2-60cm%5E2=0\"   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=n%5E2%2B2n%2Acm-63cm%5E2=0 ALIGN=MIDDLE  ALT=\"n%5E2%2B2n%2Acm-63cm%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2Acm ALIGN=MIDDLE  ALT=\"2n%2Acm\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9n%2Acm-7n%2Acm ALIGN=MIDDLE  ALT=\"9n%2Acm-7n%2Acm\"   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=n%5E2%2B9n%2Acm-7n%2Acm-63cm%5E2+=+0 ALIGN=MIDDLE  ALT=\"n%5E2%2B9n%2Acm-7n%2Acm-63cm%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%5E2%2B9n%2Acm%29-%287n%2Acm%2B63cm%5E2%29+=+0 ALIGN=MIDDLE  ALT=\"%28n%5E2%2B9n%2Acm%29-%287n%2Acm%2B63cm%5E2%29+=+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=n%28n%2B9cm%29-7cm%28n%2B9cm%29+=+0 ALIGN=MIDDLE  ALT=\"n%28n%2B9cm%29-7cm%28n%2B9cm%29+=+0\"   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=%28n-7cm%29%28n%2B9cm%29+=+0 ALIGN=MIDDLE  ALT=\"%28n-7cm%29%28n%2B9cm%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we need only positive solution and it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-7cm+=+0 ALIGN=MIDDLE  ALT=\"n-7cm+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=7cm%29 ALIGN=MIDDLE  ALT=\"highlight%28n=7cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width=n%2B3cm ALIGN=MIDDLE  ALT=\"width=n%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width=7cm%2B3cm ALIGN=MIDDLE  ALT=\"width=7cm%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width=10cm ALIGN=MIDDLE  ALT=\"width=10cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=height=n-1cm ALIGN=MIDDLE  ALT=\"height=n-1cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=7cm-1cm ALIGN=MIDDLE  ALT=\"h=7cm-1cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=6cm ALIGN=MIDDLE  ALT=\"h=6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );