document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597354>Question 597354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is the distance? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378190 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is the distance? <BR>\n" );
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document.write( "Hi, there--<BR>\n" );
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document.write( "To solve this problem, notice that the diagonal divides the rectangle into 2 congruent right triangles (same size, same shape). <BR>\n" );
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document.write( "The two legs of each right triangle are 90m and 120m. The diagonal is the hypotenuse of each right triangle. (Draw a diagram of the soccer field with these measurements.)<BR>\n" );
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document.write( "We'll use the Pythagorean Equation to find the length of diagonal. Let's call the length of the legs of the triangle a and b. We'll call the length of the diagonal c.<BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2890%29%5E2%2B%28120%29%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"%2890%29%5E2%2B%28120%29%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8100%2B14400=c%5E2 ALIGN=MIDDLE  ALT=\"8100%2B14400=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22500=c%5E2 ALIGN=MIDDLE  ALT=\"22500=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find the value of c-squared, take the square root of both sides of the equation. c is 150 since 150*150=22500.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=150 ALIGN=MIDDLE  ALT=\"c=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The length of the diagonal is 150 meters.<BR>\n" );
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document.write( "That's it! Feel free to email me via gmail if the explanation is unclear.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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