document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001850>Question 1001850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the Relationship of dividing triangles in half for area? <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 #618910 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=618910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Maybe you mean to ask this differently?  Try drawing a RECTANGLE.  Push one side  (try a top side)  a small measure in either direction along itself to form a PARALLELOGRAM.  The area is the same as that of the original rectangle,  base b multiplied by height h, or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bh ALIGN=MIDDLE  ALT=\"bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The height of the rectangle and of the parallelogram are still the same.  The bases are still the same.\r<BR>\n" );
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document.write( "Pick two opposite corners of the parallelogram, and cut into the two triangles which make up this parallelogram.  Both triangles together have area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bh ALIGN=MIDDLE  ALT=\"bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >; but the two triangles are congruent, meaning same shape and size.  EACH triangle then has HALF of the area of the parallelogram.  This area of ONE triangle is therefore  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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