document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109559>Question 109559</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495012661/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The base of a triangle is one third as long as its height.  If the area of the triangle is 24 square meters, how long is its base? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79882 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base=b ALIGN=MIDDLE  ALT=\"base=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=one ALIGN=MIDDLE  ALT=\"one\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+third ALIGN=MIDDLE  ALT=\"+third\"   DISABLED_style= \"max-width:90%; height:auto;\" > as long as its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=height=h ALIGN=MIDDLE  ALT=\"height=h\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( " the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=A ALIGN=MIDDLE  ALT=\"area=A\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24m%5E2 ALIGN=MIDDLE  ALT=\"24m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "b=?\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+24m%5E2 ALIGN=MIDDLE  ALT=\"A+=+24m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+1%2F3%28h%29 ALIGN=MIDDLE  ALT=\"b+=+1%2F3%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+3b ALIGN=MIDDLE  ALT=\"h+=+3b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29b%2Ah ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29b%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24m%5E2+=+%281%2F2%29b%2A3b ALIGN=MIDDLE  ALT=\"24m%5E2+=+%281%2F2%29b%2A3b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24m%5E2+=+3b%5E2%2F2 ALIGN=MIDDLE  ALT=\"24m%5E2+=+3b%5E2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >......divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8m%5E2+=+b%5E2%2F2 ALIGN=MIDDLE  ALT=\"8m%5E2+=+b%5E2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16m%5E2+=+b%5E2 ALIGN=MIDDLE  ALT=\"16m%5E2+=+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+4%5E2 ALIGN=MIDDLE  ALT=\"16+=+4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284m%29%5E2+=+b%5E2 ALIGN=MIDDLE  ALT=\"%284m%29%5E2+=+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......if exponents are same then bases are same\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4m ALIGN=MIDDLE  ALT=\"b=4m\"   DISABLED_style= \"max-width:90%; height:auto;\" >......=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+3%2A4m+=+12m ALIGN=MIDDLE  ALT=\"h+=+3%2A4m+=+12m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29b%2Ah ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29b%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24m%5E2+=+%281%2F2%294m%2A12m ALIGN=MIDDLE  ALT=\"24m%5E2+=+%281%2F2%294m%2A12m\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4m ALIGN=MIDDLE  ALT=\"4m\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12m ALIGN=MIDDLE  ALT=\"12m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24m%5E2+=+%281%2F2%2948m%5E2 ALIGN=MIDDLE  ALT=\"24m%5E2+=+%281%2F2%2948m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24m%5E2+=+24m%5E2 ALIGN=MIDDLE  ALT=\"24m%5E2+=+24m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );