document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004239>Question 1004239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Perimeters of two triangles is in the ratio of 2:4. The sum of their areas is 100 cm squared. Find the area of each triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620753 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=620753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That ratio is also 1:2.<BR>\n" );
document.write( "Let x,y,z be the lengths of each side for the small triangle.  The altitude is also in the same ratio between the two triangles (because linear measures).\r<BR>\n" );
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document.write( "Small perimeter, x+y+z<BR>\n" );
document.write( "Large perimeter, 2(x+y+z)<BR>\n" );
document.write( "If h is the altitude of the small triangle, the 2h is altitude for large triangle.\r<BR>\n" );
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document.write( "Small area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29zh ALIGN=MIDDLE  ALT=\"%281%2F2%29zh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "large area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%292z%2A2h=%281%2F2%29%2A4%2Azh ALIGN=MIDDLE  ALT=\"%281%2F2%292z%2A2h=%281%2F2%29%2A4%2Azh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Their summed areas is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=%281%2F2%29zh%2B%281%2F2%29%2A4zh ALIGN=MIDDLE  ALT=\"100=%281%2F2%29zh%2B%281%2F2%29%2A4zh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200=zh%2B4zh=5zh ALIGN=MIDDLE  ALT=\"200=zh%2B4zh=5zh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=zh=200%2F5 ALIGN=MIDDLE  ALT=\"zh=200%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=zh=40 ALIGN=MIDDLE  ALT=\"zh=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This can now be used for finding the value of each area.\r<BR>\n" );
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document.write( "Small Triangle,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A40=highlight%2820%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A40=highlight%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Large Triangle, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A4%2Azh=2%2A40=highlight%2880%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A4%2Azh=2%2A40=highlight%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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