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Verified Answer :

actually, this is the case of circumcircle of equilateral triangle

so, Raidus = 2/3 of midean or height.
so, height of triangle will be = 12 cm

and side of that triangle will be h = root 3 /2 a
so, side, a = 24/root 3

area = root 3 / 4
a^2
     = root 3/4 2424 /3
       =144/root 3 = 83.1408 cm^2

will be the answer..
hope it helped

Answer:

actually, this is the case of circumcircle of equilateral triangle

so, Raidus = 2/3 of midean or height.

so, height of triangle will be = 12 cm

and side of that triangle will be h = root 3 /2 a

so, side, a = 24/root 3

area = root 3 / 4 a^2

    = root 3/4 2424 /3

      =144/root 3 = 83.1408 cm^2