Answer :

Given, length of hypotenuse of an isosceles triangle = 12√ 2 cm

Let the equal sides of the isosceles right-angled triangle be x cm

But according to the Pythagoras theorem

x2 +x2 = (12√ 2)2

2x2 = 144 × 2

x = √ 144

x = 12 cm

Area of isosceles right-angled triangle

= where x is the equal side of isosceles triangle

Area =


=72 cm2

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