The side length of the first square is 1.2 cm, the second square is 1.6 cm. Find the side length of the third square

The side length of the first square is 1.2 cm, the second square is 1.6 cm. Find the side length of the third square, the area of which is equal to the sum of the areas of the first two squares.

We calculate the area of the first given square, knowing that it is equal by definition to the length of the squared side:

1.2 ^ 2 = 1.44.

Determine the area of the second square using the same formula:

1.6 ^ 2 = 2.56.

Let us determine the area of the third square, knowing that it is equal to the sum of the areas of the first and second squares:

1.44 + 2.56 = 4 = 2 ^ 2.

Let us determine the length of the side of the third square, denoting it as x:

x ^ 2 = 2 ^ 2;

x1 = 2;

x2 = -2 (does not fit, the side cannot be negative).

Answer: The length of the side of the square is 2 cm.