Let A is the set of all triangles in a plane. Define a function 
as  = a "f\left( {{T_1},\,{T_2}} \right) = a")
implies that triangle 
is similar to 
with the dilation constant or scale factor ‘a’. Find all the possible triangles and such that
a. Lengths of the sides of and are integers
b. The perimeter and area of are same.
a. Lengths of the sides of
b. The perimeter and area of
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