document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205537>Question 205537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose you need to construct a right triangle in which the shortest side is eight feet less than the longest side and the third side is seven feet more than the shortest side. \r<BR>\n" );
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document.write( "draw a picture and label all the sides. \r<BR>\n" );
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document.write( "(i cant seem to figure out how to label all sides?) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155183 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> problem:<BR>\n" );
document.write( "suppose you need to construct a right triangle in which the shortest side is eight feet less than the longest side and the third side is seven feet more than the shortest side. <BR>\n" );
document.write( "draw a picture and label all the sides. <BR>\n" );
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document.write( "your picture can be found at the following website:<BR>\n" );
document.write( "http://theo.x10hosting.com/<BR>\n" );
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document.write( "look for 205537 and click on it.<BR>\n" );
document.write( "if it's not there, wait about 30 minutes and try again.<BR>\n" );
document.write( "it will be there.<BR>\n" );
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document.write( "points of triangle are ABC.<BR>\n" );
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document.write( "line AC is called side b (opposite angle B)<BR>\n" );
document.write( "line BC is called side a (opposite angle A)<BR>\n" );
document.write( "line AB is called side c (opposite angle C)<BR>\n" );
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document.write( "angle C is 90 degrees making it the right angle of the triangle<BR>\n" );
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document.write( "c is the longest side of the triangle because it is the hypotenuse.<BR>\n" );
document.write( "a is the shortest side of the triangle because we made it that way.<BR>\n" );
document.write( "b is the third side of the triangle.<BR>\n" );
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document.write( "problem states that the shortest side is 8 feet less than the longest side.<BR>\n" );
document.write( "that means that a = c - 8<BR>\n" );
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document.write( "the problem also states that the third side is 7 feet more than the shortest side.<BR>\n" );
document.write( "that means that b = a + 7<BR>\n" );
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document.write( "we let c = x because we don't know how long it is and we allow x to represent the length of it.<BR>\n" );
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document.write( "if a = c - 8 and c = x then a = x - 8<BR>\n" );
document.write( "if b = a + 7 and a = x - 8 then b = (x - 8) + 7 = x - 1<BR>\n" );
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document.write( "now we have:<BR>\n" );
document.write( "a = x-8<BR>\n" );
document.write( "b = x-1<BR>\n" );
document.write( "c = x<BR>\n" );
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document.write( "you can solve for x by using the pythagorean formula.<BR>\n" );
document.write( "the pythagorean formula states that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where c is the hypotenuse of the triangle.<BR>\n" );
document.write( "we constructed the triangle so that side c would be the hypotenuse so the picture and the formula should be synchronized.<BR>\n" );
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document.write( "my answer is:<BR>\n" );
document.write( "c = 13<BR>\n" );
document.write( "b = 12<BR>\n" );
document.write( "a = 5<BR>\n" );
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document.write( "you can see that a is the shortest side and is 8 less than c which is the longest side.<BR>\n" );
document.write( "you can see that b is the third side and is 7 more than a which is the shortest side.<BR>\n" );
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document.write( "if you solve it you should get the same answer.<BR>\n" );
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