document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859379>Question 859379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The base of a parallelogram and a triangle are the same length, and both figures have the same area. What is true about height of the triangle?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517739 by </B><A HREF=/tutors/aboutme.mpl?userid=Awesom3guy><B>Awesom3guy(31)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Awesom3guy><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=517739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you are having trouble with this, it helps when you draw it.<BR>\n" );
document.write( "Let's call the height of the parallelogram p and the one of the triangle t.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Both of their bases are the same length. Let's call that B.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The area of a parallelogram is base*height, and of the triangle is HALF of its own (base*height).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The two areas are the same, and so are the bases, and what is different are the heights. So you set up:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2Ap+=+B%2At%2F2 ALIGN=MIDDLE  ALT=\"B%2Ap+=+B%2At%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As B can be cancelled (same value on numerators on both sides, you have this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+t%2F2 ALIGN=MIDDLE  ALT=\"p+=+t%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we can say that - height of the parallelogram is half of the one of triangle, or, if we multiply the equation with 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2p ALIGN=MIDDLE  ALT=\"t+=+2p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Height of the triangle is double the height of the parallelogram. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );