Answer :

Given


In an isosceles right angled triangle


Hypotenuse = 12√2 cm


Since it is the isosceles triangle


the length of the remaining two sides would be same


Let the length of remaining two sides be x cm


According to the Pythagoras theorem,


Hypothenuse2 = Base2 + height2


(12√2)2 = x2 + x2


144 × 2 = 2x2



144 = x2


x = ± 12 cm


Since length cannot be negative


Length (x) of remaining two sides = 12cm


Area of an isosceles triangle



= 72cm2


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