A certain television is advertised as a 83-inch TV (the diagonal length). If the height of the TV is 45 inches, how wide is the TV? Round to the nearest tenth of an inch. Answer Attempt 2 out of square in.

## Step 1The problem involves the use of the Pythagorean theorem, 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. This can be written as:### where is the hypotenuse, and and are the other two sides.## Step 2In this problem, the hypotenuse is the diagonal of the TV, which is 83 inches. The height of the TV is one of the other sides, which is 45 inches. We are asked to find the width of the TV, which is the remaining side.## Step 3We can rearrange the Pythagorean theorem to solve for the width:### ## Step 4Substitute the given values into the equation:### ## Step 5Calculate the square of 83 and 45, subtract the latter from the former, and then take the square root of the result.## Step 6Round the result to the nearest tenth of an inch.