document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986511>Question 986511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the dimensions of a right triangle if the area is 48 and one leg is 4 less than twice the other leg. \r<BR>\n" );
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document.write( "my attempt goes this way:\r<BR>\n" );
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document.write( "A=1/2 bh<BR>\n" );
document.write( "48=1/2 (2x-4) (x)<BR>\n" );
document.write( "48=1/2 (2x^2-4x)<BR>\n" );
document.write( "48=x^2-2x<BR>\n" );
document.write( "0=x^2-2x-48<BR>\n" );
document.write( "then i used quadratic formula but i'll only use plus sign here because i don't know how to type in the plus and minus sign.\r<BR>\n" );
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document.write( "----it seems i can't type the equation properly here--but i only substituted the formula from the equation i got in the area part.<BR>\n" );
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document.write( " here is my theory or the answer i got.\r<BR>\n" );
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document.write( "x=8 <BR>\n" );
document.write( "2x-4=12\r<BR>\n" );
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document.write( " i can't seem to get the hypotenuse using these two answers because i get a decimal answer.\r<BR>\n" );
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document.write( "c^2=a^2+b^2 , using the Pythagorean theorem, i got an answer with a decimal, which in my opinion is wrong. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607267 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=607267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29+bh ALIGN=MIDDLE  ALT=\"A=%281%2F2%29+bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >........correct<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48=%281%2F2+%29%282x-4%29%28x%29 ALIGN=MIDDLE  ALT=\"48=%281%2F2+%29%282x-4%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........correct<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48=%281%2F2%29+%282x%5E2-4x%29 ALIGN=MIDDLE  ALT=\"48=%281%2F2%29+%282x%5E2-4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........correct<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48=x%5E2-2x ALIGN=MIDDLE  ALT=\"48=x%5E2-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >........correct<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2-2x-48 ALIGN=MIDDLE  ALT=\"0=x%5E2-2x-48\"   DISABLED_style= \"max-width:90%; height:auto;\" >........correct\r<BR>\n" );
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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;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-48%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-48%29+%29%29%2F%282%2A1%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=x+=+%282+%2B-+sqrt%28+4%2B192+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+sqrt%28+4%2B192+%29%29%2F2+\"   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=x+=+%282+%2B-+sqrt%28+196+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+sqrt%28+196+%29%29%2F2+\"   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=x+=+%282+%2B-+14%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+14%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "positive solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B+14%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B+14%29%2F2+\"   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=x+=16%2F2+ ALIGN=MIDDLE  ALT=\"x+=16%2F2+\"   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=highlight%28x+=+8%29+ ALIGN=MIDDLE  ALT=\"highlight%28x+=+8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> this is a height\r<BR>\n" );
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document.write( "now find the length of the base<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2x-4 ALIGN=MIDDLE  ALT=\"b=2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2%2A8-4 ALIGN=MIDDLE  ALT=\"b=2%2A8-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=16-4 ALIGN=MIDDLE  ALT=\"b=16-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=12%29 ALIGN=MIDDLE  ALT=\"highlight%28b=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>the base\r<BR>\n" );
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document.write( "check:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29+bh ALIGN=MIDDLE  ALT=\"A=%281%2F2%29+bh\"   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=%281%2F2%29+8%2A12 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29+8%2A12\"   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=%281%2Fcross%282%291%29cross%28+8%294%2A12 ALIGN=MIDDLE  ALT=\"A=%281%2Fcross%282%291%29cross%28+8%294%2A12\"   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=4%2A12 ALIGN=MIDDLE  ALT=\"A=4%2A12\"   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=48 ALIGN=MIDDLE  ALT=\"A=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the hypotenuse:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2+ ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%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=c%5E2=8%5E2%2B12%5E2+ ALIGN=MIDDLE  ALT=\"c%5E2=8%5E2%2B12%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=c%5E2=64%2B144+ ALIGN=MIDDLE  ALT=\"c%5E2=64%2B144+\"   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=c%5E2=208+ ALIGN=MIDDLE  ALT=\"c%5E2=208+\"   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=c=sqrt%28208%29+ ALIGN=MIDDLE  ALT=\"c=sqrt%28208%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=c=14.42220510185596+ ALIGN=MIDDLE  ALT=\"c=14.42220510185596+\"   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=highlight%28c=14.4%29+ ALIGN=MIDDLE  ALT=\"highlight%28c=14.4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........must be decimal\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );