document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77872>Question 77872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The base of a triangle is 3 times its height the area is numerically 6 times its height. Find the height base and area of the triangle.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55830 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=height of triangle<BR>\n" );
document.write( "Then 3x=base of triangle\r<BR>\n" );
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document.write( "Area(A)=(1/2)Base(B) times Height(H) or A=(1/2)BH\r<BR>\n" );
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document.write( "So our equation to solve is\r<BR>\n" );
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document.write( "6x=(1/2)(x)(3x) simplifying<BR>\n" );
document.write( "6x=(3x^2)/2  multiply both sides by 2 to get rid of the fraction\r<BR>\n" );
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document.write( "12x=3x^2  divide both sides by 3x (x is not equal to zero)\r<BR>\n" );
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document.write( "x=4 units-----------------height of triangle\r<BR>\n" );
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document.write( "3x=3*4=12 units ---------------base of triangle\r<BR>\n" );
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document.write( "Area=(1/2)(4)(12)= 24 sq units\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "Area is 6 times height\r<BR>\n" );
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document.write( "24=6*4<BR>\n" );
document.write( "24=24\r<BR>\n" );
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document.write( "Base is 3 times height<BR>\n" );
document.write( "12=3*4<BR>\n" );
document.write( "12=12\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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