Question 1209961
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            Actually,  this problem is very simple.



<pre>
Two triangles with the angles of 45 degrees form a square with the side of 8 cm,
if to attach them hypotenuse to hypotenuse.


So, the total area of these two triangles is  {{{8^2}}} = 64 cm^2.


The great triangle on the left is the equilateral triangle with the side length a = 16 cm,
since all three its angles are 60 degrees each.


The area of such a triangle is  

    {{{a^2*(sqrt(3)/4)}}} = {{{16^2*(sqrt(3)/4)}}} = {{{16*4*sqrt(3)}}} = {{{64*sqrt(3)}}} cm^2.


Therefore, the total area of the given kite is

    64 + {{{64*sqrt(3)}}} = {{{64*(1+sqrt(3))}}} = 174.85 square centimeters approximately.    <U>ANSWER</U>
</pre>

Solved.


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Equilateral triangles come very often in geometry problems.


Therefore, &nbsp;it is useful to know this formula for their area,  &nbsp;&nbsp;{{{a^2*(sqrt(3)/4)}}},
via their side length &nbsp;" a ", &nbsp;in order for do not derive it every time from scratch.