document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171038>Question 171038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A classroom is 20 m long, 12 m wide, and 7 m high. Find the distance from the northeast corner of the room to the southwest corner of the room at floor level. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126270 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=126270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to see a picture of what i'm talking about, go to:<BR>\n" );
document.write( "http://www.geocities.com/gonzo89p<BR>\n" );
document.write( "and click on \"171038 picture\"<BR>\n" );
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document.write( "your room is 20 meters long.<BR>\n" );
document.write( "that would be AD, BC, EH, FG in the picture.<BR>\n" );
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document.write( "your room is 12 meters wide.<BR>\n" );
document.write( "that would be AE, BF, DH, CG in the picture.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "your room is 9 meters high.<BR>\n" );
document.write( "that would be AB, EF, DC, HG in the picture.<BR>\n" );
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document.write( "you are saying to find the distance from the northeast corner of the room to the southwest corner of the room at floor level.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "say the top of the picture is north and the bottom of the picture is south.<BR>\n" );
document.write( "say the left of the picture is west and the right of the picture is east.<BR>\n" );
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document.write( "northeast corner of the room would be at point G<BR>\n" );
document.write( "southwest corner of the room would be at point A<BR>\n" );
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document.write( "the northeast corner of the room is at ceiling level.<BR>\n" );
document.write( "the southwest corner of the room is at floor level.<BR>\n" );
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document.write( "this indicates that you want to find the length of the diagonal AG.<BR>\n" );
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document.write( "this may not be what you want.<BR>\n" );
document.write( "you may have wanted the diagonal on the floor level which would be AH.<BR>\n" );
document.write( "doesn't matter.<BR>\n" );
document.write( "in finding the length of the diagonal AG, we need to find the length of the diagonal AH anyway.<BR>\n" );
document.write( "we'll do both and you pick the one you think you really wanted.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "we need to find the length of the diagonal AH first because that's in the plane of the diagonal AG and can be used to find that.<BR>\n" );
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document.write( "the diagonal AH can be found by use of the pythagorean theorem since the triangle ADH is a right triangle (unless the house is skewed the dimensions form a rectangular solid).<BR>\n" );
document.write( "the triangle ADH has one leg AD = 20 meters and the other leg DH = 12 meters.<BR>\n" );
document.write( "the diagonal AH is the hypotenuse of this right triangle.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "the formula finding the hypotenuse of this right triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AH%29%5E2+=+%28AD%29%5E2+%2B+%28DH%29%5E2 ALIGN=MIDDLE  ALT=\"%28AH%29%5E2+=+%28AD%29%5E2+%2B+%28DH%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "this formula becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AH%29%5E2+=+%2820%29%5E2+%2B+%2812%29%5E2 ALIGN=MIDDLE  ALT=\"%28AH%29%5E2+=+%2820%29%5E2+%2B+%2812%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AH%29%5E2+=+400+%2B+144 ALIGN=MIDDLE  ALT=\"%28AH%29%5E2+=+400+%2B+144\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AH%29%5E2+=+544 ALIGN=MIDDLE  ALT=\"%28AH%29%5E2+=+544\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "take square root of both sides of equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28AH%29%5E2%29+=+sqrt%28544%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28AH%29%5E2%29+=+sqrt%28544%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AH+=+23.32380758 ALIGN=MIDDLE  ALT=\"AH+=+23.32380758\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters.<BR>\n" );
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document.write( "if AH is what you were looking for, then you are done.<BR>\n" );
document.write( "if you wanted to find AG, then you need to go one step further.<BR>\n" );
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document.write( "AH is one of the legs of right triangle AGH.<BR>\n" );
document.write( "GH is the other one.<BR>\n" );
document.write( "AG is the hypotenuse of this right triangle.<BR>\n" );
document.write( "you know GH = 9 meters.<BR>\n" );
document.write( "you solved for AH = 23.32380758 meters.<BR>\n" );
document.write( "you need to solve for AG.<BR>\n" );
document.write( "again, your formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AG%29%5E2+=+%28AH%29%5E2+%2B+%28GH%29%5E2 ALIGN=MIDDLE  ALT=\"%28AG%29%5E2+=+%28AH%29%5E2+%2B+%28GH%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "substituting known values, your formula becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AG%29%5E2+=+%2823.32380758%29%5E2+%2B+%289%29%5E2 ALIGN=MIDDLE  ALT=\"%28AG%29%5E2+=+%2823.32380758%29%5E2+%2B+%289%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AG%29%5E2+=+544+%2B+81 ALIGN=MIDDLE  ALT=\"%28AG%29%5E2+=+544+%2B+81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AG%29%5E2+=+625 ALIGN=MIDDLE  ALT=\"%28AG%29%5E2+=+625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take square root of both sides of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28AG%29%5E2%29+=+sqrt%28625%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28AG%29%5E2%29+=+sqrt%28625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AG+=+25 ALIGN=MIDDLE  ALT=\"AG+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );