document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164854>Question 164854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle differ by 2 cm. and the hypotenuse is 4 cm. more than the shorter leg. Find the sides of the triangle?\r<BR>\n" );
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document.write( "please give the answer QUICKLY because I need to submit this tomorrow...tnx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121473 by </B><A HREF=/tutors/aboutme.mpl?userid=MRperkins><B>MRperkins(300)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MRperkins><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=MRperkins><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To understand this problem first draw a representation of a right triangle.  Label one leg x and the other leg x-2.<BR>\n" );
document.write( "Given:  the hypotenuse is 4 cm. more than the shorter leg so:<BR>\n" );
document.write( "label the hypotenuse x-2+4 or x+2<BR>\n" );
document.write( "Now use the Pythagorean Theorem to find the value of x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E2%2B%28x-2%29%5E2=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%29%5E2%2B%28x-2%29%5E2=%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x-2%29%28x-2%29=%28x%2B2%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x-2%29%28x-2%29=%28x%2B2%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Order of operations says we have to multiply where possible so use the FOIL method.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2-2x-2x%2B4=x%5E2%2B2x%2B2x%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2-2x-2x%2B4=x%5E2%2B2x%2B2x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-4x%2B4=x%5E2%2B4x%2B4 ALIGN=MIDDLE  ALT=\"2x%5E2-4x%2B4=x%5E2%2B4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Move everything to the same side.<BR>\n" );
document.write( "Subtract x^2 from both sides and you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4=4x%2B4 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4=4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 4x from both sides and you get:<BR>\n" );
document.write( "x^2-8x+4=4<BR>\n" );
document.write( "Subtract 4 from both sides and you get:<BR>\n" );
document.write( "x^2-8x=0<BR>\n" );
document.write( "Factor out an x and you get:<BR>\n" );
document.write( "x(x-8)=0<BR>\n" );
document.write( "This statement is true when x=0 or (x-8)=0<BR>\n" );
document.write( "x-8=0<BR>\n" );
document.write( "add 8 to both sides and you get <BR>\n" );
document.write( "x=8\r<BR>\n" );
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document.write( "x=0;x=8  However, because we are dealing with a length of a triangle x cannot=0<BR>\n" );
document.write( "Therefore x=8 is the only answer to this problem.\r<BR>\n" );
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document.write( "Check your work!<BR>\n" );
document.write( "your sides are 8;8-2;8-2+4 or 8;6;10<BR>\n" );
document.write( "we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E2%2B6%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"8%5E2%2B6%5E2=10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <BR>\n" );
document.write( "64+46=100<BR>\n" );
document.write( "or <BR>\n" );
document.write( "100=100 and therefore the answer checks out to be true.\r<BR>\n" );
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document.write( "Remember that you must always try to find a unit label for every answer.  In this case it is centimeters so your final answer is 6 cm; 8 cm; and 10 cm<BR>\n" );
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document.write( " </SPAN>\n" );
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