document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165441>Question 165441</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395771188/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The side of a large tent is in the shape of an isosceles triangle whose area is 54ft^2 and whose base is 6ft shorter than twice its height. Find the height and the base of the side of the tent. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121956 by </B><A HREF=/tutors/aboutme.mpl?userid=alicealc><B>alicealc(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alicealc><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=121956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let:<BR>\n" );
document.write( "triangle's base = b<BR>\n" );
document.write( "triangle's height = h\r<BR>\n" );
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document.write( "b = 2h - 6\r<BR>\n" );
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document.write( "triangle's area = 54<BR>\n" );
document.write( "<=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Ab%2Ah+=+54 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Ab%2Ah+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%282h+-+6%29%2Ah+=+54 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%282h+-+6%29%2Ah+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%282h%5E2+-+6h%29+=+54 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%282h%5E2+-+6h%29+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2+-+3h+=+54 ALIGN=MIDDLE  ALT=\"h%5E2+-+3h+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2+-+3h+-+54+=+0 ALIGN=MIDDLE  ALT=\"h%5E2+-+3h+-+54+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use factorization, we will get:<BR>\n" );
document.write( "(h - 9)*(h + 6) = 0<BR>\n" );
document.write( "h - 9 = 0<BR>\n" );
document.write( "h = 9<BR>\n" );
document.write( "or<BR>\n" );
document.write( "h + 6 = 0<BR>\n" );
document.write( "h = -6 -> this is not a possible measure for h, because it's negative\r<BR>\n" );
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document.write( "so the value of triangle's height = 9 ft<BR>\n" );
document.write( "and triangle's base = 2*9 - 6 = 18 - 6 = 12 ft </SPAN>\n" );
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