document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86097>Question 86097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> milicent wants to build a fence around her flower garden, which is shaped like a right triangle, if one leg of the triangle is 6 feet long and the other is 8 feet long,how many feet of fencing will she need to finish the project? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62212 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a Pythagorean theorem problem. The Pythagorean theorem says that the sum of the squares<BR>\n" );
document.write( "of the two legs of a right triangle is equal to the square of the hypotenuse of the triangle.<BR>\n" );
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document.write( "In equation form this becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "in which \"a\" and \"b\" are the legs of the right triangle, and \"c\" is the longest side which<BR>\n" );
document.write( "is also called the hypotenuse.<BR>\n" );
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document.write( "Just substitute the two values for the legs that you are given into this equation. Since you<BR>\n" );
document.write( "are told that one leg is 6 ft let's call that length \"a\". Then length \"b\" will be the other<BR>\n" );
document.write( "leg or 8 ft. When you substitute these values, the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2+%2B+8%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"6%5E2+%2B+8%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Square both terms on the left side and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36+%2B+64+=+c%5E2 ALIGN=MIDDLE  ALT=\"36+%2B+64+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then add the two values on the left side:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+c%5E2 ALIGN=MIDDLE  ALT=\"100+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally, solve for the hypotenuse by taking the square root of both sides to find that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28100%29+=+10 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28100%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now you know the lengths of all three sides of the garden. To fence in the garden she<BR>\n" );
document.write( "will need an amount of fencing equal to the sum of the three lengths.  Therefore, <BR>\n" );
document.write( "she will need:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+%2B+8+%2B+10+=+24 ALIGN=MIDDLE  ALT=\"6+%2B+8+%2B+10+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So she needs 24 feet of fencing.<BR>\n" );
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document.write( "Hope this helps you to understand how the Pythagorean theorem works. </SPAN>\n" );
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