Question 167941
{{{drawing(400,400,-4,4,-4,4, line(-2,0,2,0),line(0,2.5,0,-3.5),
   line(-2,0,0,2.5),  line(2,0,0,2.5), line(-2,0,0,-3.5), line(2,0,0,-3.5),
   locate(-2.2,.1,B),locate(2.1,.1,D),locate(0,2.8,A), locate(.1,.4,E),
locate(0,-3.6,C) 
)}}} 

<pre><b>
(Area of Kite) = (Area of triangle ABD) + (Area of triangle BCD)

(Area of Kite) =     {{{1/2}}}{{{BD*AE}}}{{{"+"}}}{{{1/2}}}{{{BD*EC}}}

Factor out {{{1/2}}}{{{BD}}}

(Area of Kite) = {{{1/2}}}{{{BD*(AE+EC)}}}

{{{(AE+EC)=AC}}}

(Area of Kite) = {{{1/2}}}{{{BD*AC}}}

Edwin</pre>