Question

The size of a television screen is determined by its diagonal length. Find the size of a television screen that is 1.2 m wide and 70 cm high. Round the answer to the nearest cm

Answer 1

We can use the Pythagorean theorem to find the diagonal length of the screen:

(diagonal)^2 = (width)^2 + (height)^2

(diagonal)^2 = (1.2m)^2 + (0.7m)^2

(diagonal)^2 = 1.44m^2 + 0.49m^2

(diagonal)^2 = 1.93m^2

diagonal = √1.93m^2

diagonal ≈ 1.39m

To convert to centimeters and round to the nearest cm, we multiply by 100 and round the result:

diagonal ≈ 139 cm

Therefore, the size of the television screen is approximately 139 cm.