Tom bought a 32 inch television sets.what is the approximate length of this diagonal in centimeters
The diagonal length of a 32 inch TV can be calculated using the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the length and width of the TV.
Assuming the TV has a 16:9 aspect ratio (common for flat screen TVs), we can calculate the width and height as follows:
Width = 32 inches x 9 / √(9^2 + 16^2) = 28.12 inches
Height = 32 inches x 16 / √(9^2 + 16^2) = 15.88 inches
Now, we can calculate the diagonal length using the Pythagorean theorem:
Diagonal length = √(Width^2 + Height^2) = √(28.12^2 + 15.88^2) = √(792.57 + 251.90) = √1044.47 ≈ 32.33 inches
To convert this length to centimeters, we multiply by 2.54 (1 inch = 2.54 cm):
Approximate length of the diagonal in centimeters = 32.33 inches x 2.54 cm/inch ≈ 82.2 cm
Therefore, the approximate length of the diagonal of a 32 inch TV in centimeters is approximately 82.2 cm.