A kite in the shape of a square with a diagonal `32 c m` and an isosceles triangle of base `8c m\ a n d\ s i d e s\ 6c m` each is to be made of three different shades as shown in Figure. How much paper of each shade has been used in it?

Explanation

Area`(1)` = Area`(2)`` = 1/2xx"Area(square)"` `= 512/2 = 256 cm^2`

diagonal `= sqrt2*`side

side = `32/sqrt2`

area(square) =`(32/sqrt2)^2 = 512 cm^2`

`s = (a+b+c)/2 = (6+6+8)/2 = 10cm`

heron`'`s formula for Area`(3)` `= sqrt(s(s-a)(s-b)(s-c))`

`= sqrt(10(10-6)(10-6)(10-8))`

`= sqrt(2xx6xx4xx4xx2)`

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