document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105674>Question 1105674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You design a kite to look like the one at the right. Its diagonals measure 56 cm and 90 cm. You plan to use&#8203; ribbon, represented by the&#8203; rectangle, to connect the midpoints of its sides. How much ribbon do you&#8203; need? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720547 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I do not know exactly what the kite in the drawing you had looks like,<BR>\n" );
document.write( "but a kite like the one described, and its diagonals is sketched below in black.<BR>\n" );
document.write( "The rectangle it would fit in is drawn in red,<BR>\n" );
document.write( "and the rectangle connecting the midpoints of the kite's side is drawn in green.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28320%2C500%2C-64%2C64%2C-130%2C70%2C%0D%0Atriangle%28-56%2C0%2C56%2C0%2C0%2C60%29%2C%0D%0Atriangle%28-56%2C0%2C56%2C0%2C0%2C-120%29%2C%0D%0Atriangle%280%2C-120%2C56%2C0%2C0%2C60%29%2C%0D%0Ared%28rectangle%28-56%2C-120%2C56%2C60%29%29%2C%0D%0Agreen%28rectangle%28-28%2C-60%2C28%2C30%29%29%2C%0D%0Alocate%28-60%2C3%2CA%29%2Clocate%2857.5%2C3%2CC%29%2C%0D%0Alocate%28-1%2C66%2CB%29%2Clocate%28-1%2C-120%2CD%29%2Clocate%281.5%2C0%2CO%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "The measures of the sides of the red rectangle are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=56cm ALIGN=MIDDLE  ALT=\"AC=56cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BD=90cm ALIGN=MIDDLE  ALT=\"BD=90cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The short sides of the green rectangle<BR>\n" );
document.write( "midsegments of triangles ABC and ACD, parallel to side AC, so their length is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29AC=%281%2F2%29%2856cm%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29AC=%281%2F2%29%2856cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The long sides of the green rectangle<BR>\n" );
document.write( "midsegments of triangles BCD and ABD, parallel to side BD, so their length is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29BD=%281%2F2%29%2890cm%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29BD=%281%2F2%29%2890cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The perimeter of the green rectangle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56cm%2B90cm=highlight%28146cm%29 ALIGN=MIDDLE  ALT=\"56cm%2B90cm=highlight%28146cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and that is the length of ribbon needed.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The green rectangle is a 1/2 scale version of the red one,<BR>\n" );
document.write( "independent of the ratio of lengths <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OB%2FOD ALIGN=MIDDLE  ALT=\"OB%2FOD\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );