document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870442>Question 870442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.<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 #524847 by </B><A HREF=/tutors/aboutme.mpl?userid=ben720><B>ben720(159)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ben720><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=524847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Firstly, find the area of the equilateral triangle by using<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1%2F2%2Ab%2Ah ALIGN=MIDDLE  ALT=\"A=1%2F2%2Ab%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=ben720&illustration_name=Untitled.png\">.<BR>\n" );
document.write( "We already know the base<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1%2F2%2A6%2Ah ALIGN=MIDDLE  ALT=\"A=1%2F2%2A6%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height of an equilateral triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > times one of the sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2As%2F2=3sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2As%2F2=3sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute h<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1%2F2%2A6%2A3sqrt%283%29 ALIGN=MIDDLE  ALT=\"A=1%2F2%2A6%2A3sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=9sqrt%283%29 ALIGN=MIDDLE  ALT=\"A=9sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area of the equilateral triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9sqrt%283%29 ALIGN=MIDDLE  ALT=\"9sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finding the area of the isosceles triangle will be harder. Firstly, we know two sides are 5cm. The third side has to be the same as one of the equilateral triangle's sides, because the isosceles and equilateral are connected. So, the other isosceles triangle side is 6cm.<BR>\n" );
document.write( "Next, we need to find the height, relative to the 6cm side. Use the Pythagorean Theorem to do so: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2=3%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"5%5E2=3%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=9%2Bb%5E2 ALIGN=MIDDLE  ALT=\"25=9%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=b%5E2 ALIGN=MIDDLE  ALT=\"16=b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=b ALIGN=MIDDLE  ALT=\"4=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height of the isosceles triangle is 4, so the area is 24. The areas of the triangles added together is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2B9sqrt%283%29 ALIGN=MIDDLE  ALT=\"24%2B9sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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