document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170729>Question 170729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A builder is about to cut rafters for a roof of a cottage. If the width of the cottage is 24 m and he wants a roof 5 m high with an overhanging eave 1 m, find the total length of the rafter. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126037 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=126037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If we draw the scenario, we might get something like this \r<BR>\n" );
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document.write( "So if we look at one side of the roof, we get the triangle (where we let \"x\" be the length of the roof minus the overhang):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-0.5%2C2%2C-0.5%2C3.2%2C%0D%0A%0D%0Aline%280%2C0%2C0%2C3%29%2C%0D%0Aline%280%2C3%2C2%2C0%29%2C%0D%0Aline%282%2C0%2C0%2C0%29%2C%0D%0Alocate%28-0.2%2C1.5%2C5%29%2C%0D%0Alocate%281%2C-0.2%2C12%29%2C%0D%0Alocate%281%2C2%2Cx%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we can see that the triangle has legs of 5 and 12 with a hypotenuse of x, we can use Pythagoreans theorem to find the unknown side.\r<BR>\n" );
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document.write( "Pythagoreans theorem:\r<BR>\n" );
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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;\" > where a and b are the legs of the triangle and c is the hypotenuse\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2%2B12%5E2=x%5E2 ALIGN=MIDDLE  ALT=\"5%5E2%2B12%5E2=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in a=5, b=12, and c=x. Now lets solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+5+%2B+1+4+4+=++x++%5E+2 ALIGN=MIDDLE  ALT=\"2+5+%2B+1+4+4+=++x++%5E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square each individual term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+6+9+=++x++%5E+2 ALIGN=MIDDLE  ALT=\"1+6+9+=++x++%5E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+q+r+t+%28+1+6+9+%29+=+s+q+r+t+%28++x++%5E+2+%29 ALIGN=MIDDLE  ALT=\"s+q+r+t+%28+1+6+9+%29+=+s+q+r+t+%28++x++%5E+2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13=x ALIGN=MIDDLE  ALT=\"13=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 169 to get 13\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=13 ALIGN=MIDDLE  ALT=\"x=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "So this means that the hypotenuse of the triangle is 13 units. \r<BR>\n" );
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document.write( "Now because we haven't considered the overhang until now, this means that we need to add in the length of 1 to get\r<BR>\n" );
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document.write( "So the board must be 14 m\r<BR>\n" );
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