If the diagonal of a square is 12 to the square root of two then what is the area of the square

Let there be a square ABCD with diagonal AC=12 root 2 cm

Since angles of a square are all 90 degrees

pythagoras theoream

AB^2+BC^2=AC^2

Since all sides of square are equal

2AB^2=(12 root 2)^2

2AB ^2=144*2

AB^2=144

AB= root 144=12 cm

area of square = s^2 =12^2 = 144cm^2

hope it helps

Step-by-step explanation:

72 is the answer to this problem