In an isosceles right angled triangle, the two sides on the right angle are equal
Let the equal side be a
Hence, hypotenuse of the isosceles right angled triangle of side a=√a2+a2=√2a
Given, hypotenuse of the triangle =6√2cm
√2a=6√2cm
a=6cm
In the isosceles right triangle, the base and height =a
Hence, area of the triangle =12×base×height=12×6×6=18 sq cm