3. A square sheet of paper measures 55 centimeters on each side. What is the length of the diagonal of the paper? 18. __

## Step 1The problem involves finding the length of the diagonal of a square. In a square, all sides are equal, and the diagonal divides the square into two congruent right-angled triangles. The Pythagorean theorem is applicable case, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.## Step 2In this case, the sides of the square are the two legs of the right-angled triangle, and the diagonal is the hypotenuse. Therefore, the length of the diagonal can be calculated using the formula:### ## Step 3Substituting the given side length of 55 cm into the formula, we get:### ## Step 4Calculating the above expression, we get the length of the diagonal as approximately 77.78 cm.