document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142911>Question 142911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 2 triangles in a trapezoid. there is an \"X\" in the trapezoid coneecting corners and I need to find the height of 2 verticle triangles ( >< ) and one has the base of nine and the other a base of 15 (the bases of the triangles are the parallel lines in the trapezoid which has an area of 27)  I need to find the height of a triangle with the base of 15! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104012 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+400%2C+300%2C+-10%2C+190%2C+-10%2C+140%2C%0D%0A++locate%2830%2C+30%2C+A%29%2C+locate%28150%2C+30%2C+B%29%2C+locate%28135%2C+110%2C+C%29%2C+locate%2840%2C+110%2C+D%29%2C+locate%28130%2C+30%2C+E%29%2C%0D%0A++line%2830%2C+30%2C+150%2C+30%29%2C%0D%0A++line%28150%2C+30%2C+130%2C+110%29%2C%0D%0A++line%28130%2C+110%2C+50%2C+110%29%2C%0D%0A++line%2850%2C+110%2C+30%2C+30%29%2C%0D%0A++line%2850%2C+110%2C+150%2C+30%29%2C%0D%0A++line%28130%2C+110%2C+30%2C+30%29%2C%0D%0A++line%28130%2C+110%2C+130%2C+30%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let the trapezoid be ABCD. <BR>\n" );
document.write( "Given: AB = 15 units, CD = 9 units, Area of trapezoid ABCD = 27 sq units.<BR>\n" );
document.write( "Draw CE, perpendicular to AB from C at E. Let CE = h units.<BR>\n" );
document.write( "Observe that CE is the height for both the triangles ABC and ACD as their bases are parallel.\r<BR>\n" );
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document.write( "Area of trapezoid ABCD <BR>\n" );
document.write( "= Area of triangle ABC + Area of triangle ACD<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29+x+15+x+h+%2B+%281%2F2%29+x+9+x+h ALIGN=MIDDLE  ALT=\"%281%2F2%29+x+15+x+h+%2B+%281%2F2%29+x+9+x+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq units [since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AREA+=+1%2F2 ALIGN=MIDDLE  ALT=\"AREA+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BASE ALIGN=MIDDLE  ALT=\"BASE\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ALTITUDE ALIGN=MIDDLE  ALT=\"ALTITUDE\"   DISABLED_style= \"max-width:90%; height:auto;\" >]<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2815h+%2B+9h%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2815h+%2B+9h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq units<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%2924h ALIGN=MIDDLE  ALT=\"%281%2F2%2924h\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq units<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12h ALIGN=MIDDLE  ALT=\"12h\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq units\r<BR>\n" );
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document.write( "But area of trapezoid ABCD is given to be 27 sq units.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12h+=+27 ALIGN=MIDDLE  ALT=\"12h+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+9%2F4+=+2.25 ALIGN=MIDDLE  ALT=\"h+=+9%2F4+=+2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > units\r<BR>\n" );
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document.write( "Thus, required height is 2.25 units. </SPAN>\n" );
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