document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287323>Question 287323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. One leg of a right triangle is 2 feet longer than the other leg. The hypotenuse is 10 feet long. Find the length of the legs of the triangle? \r<BR>\n" );
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document.write( "2. One leg of the right triangle is 5 units. The hypotenuse is one unit longer than the other leg. What is the length of the hypotenuse and the other leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208252 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. \r<BR>\n" );
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document.write( "Let first leg = x<BR>\n" );
document.write( "second leg = x+2\r<BR>\n" );
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document.write( "Use Pythag. Theorem: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%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=x%5E2%2B%28x%2B2%29%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B2%29%5E2=10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expand the (x+2)^2 term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x%5E2+%2B4x+%2B4=10%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+%2B4x+%2B4=10%5E2\"   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%2B4x-96=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-96=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2%2B2x-48%29=0 ALIGN=MIDDLE  ALT=\"2%28x%5E2%2B2x-48%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor, by finding two numbers that multiply to -48 and add up to 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B8%29%28x-6%29=0 ALIGN=MIDDLE  ALT=\"2%28x%2B8%29%28x-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=-8, or x=6\r<BR>\n" );
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document.write( "The side of a triangle can't be a negative number, so the answer must be x=6.\r<BR>\n" );
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document.write( "That means the second leg is equal to x+2=6+2=8 feet.\r<BR>\n" );
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document.write( "Leg 1 = 6 feet, Leg 2 = 8 feet, Hypotenuse = 10 feet.\r<BR>\n" );
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document.write( "Question 2)\r<BR>\n" );
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document.write( "Let x = the other leg<BR>\n" );
document.write( "Hypotenuse = x+1\r<BR>\n" );
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document.write( "Use Pythag. Theorem: <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=%28x%2B1%29%5E2+=+5%5E2+%2B+x%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2+=+5%5E2+%2B+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expand the left side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+%2B+1+=+25+%2B+x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+%2B+1+=+25+%2B+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1=25 ALIGN=MIDDLE  ALT=\"2x%2B1=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=24 ALIGN=MIDDLE  ALT=\"2x=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the other leg is 12 units, and the hypotenuse is 13 units. </SPAN>\n" );
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