document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133639>Question 133639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a triangle a base and the cooesponding height are in the ratio 3:2. The area is 108 in. squared. find the base and the corresponding height. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97793 by </B><A HREF=/tutors/aboutme.mpl?userid=nycsharkman><B>nycsharkman(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nycsharkman><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=97793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of triangle is found by using the formula:\r<BR>\n" );
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document.write( "A = 1/2 times base times height\r<BR>\n" );
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document.write( "The ratio 3:2 becomes 3x:2x\r<BR>\n" );
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document.write( "We need to find x BEFORE we can find the length of the base and height in terms of inches.\r<BR>\n" );
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document.write( "The area is 108.\r<BR>\n" );
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document.write( "We now plug and chug.\r<BR>\n" );
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document.write( "108 = 1/2 (3x)(2x)\r<BR>\n" );
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document.write( "108 = 1/2(6x^2)\r<BR>\n" );
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document.write( "108 = 3x^2\r<BR>\n" );
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document.write( "Divide both sides by 3.\r<BR>\n" );
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document.write( "108/3 = x^2\r<BR>\n" );
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document.write( "36 = x^2\r<BR>\n" );
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document.write( "Take square root of both sides.\r<BR>\n" );
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document.write( "+ -6 = x\r<BR>\n" );
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document.write( "Of course, when dealing with base and height, we are talking about distance.<BR>\n" );
document.write( "Distance CANNOT be negative.  So, we REJECT the answer x = -6.\r<BR>\n" );
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document.write( "We use x = 6.\r<BR>\n" );
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document.write( "Base is 3x.\r<BR>\n" );
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document.write( "Base = 3(6)\r<BR>\n" );
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document.write( "Base = 18 inches\r<BR>\n" );
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document.write( "Height is 2x.\r<BR>\n" );
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document.write( "Height = 2(6)\r<BR>\n" );
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document.write( "Height = 12 inches.\r<BR>\n" );
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document.write( "Did you follow? </SPAN>\n" );
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