Question A certain television is advertised as a 68 -ineh TV (the diagonal length), If the height of the TV is 45 inches, how wide is the TVP Round to the nearest tenth of an ineh.

To find the width of the TV, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse (the diagonal in this case). Here, we have a 68-inch diagonal and a height of 45 inches. Plugging the values into the formula gives us: Width = √(Diagonal² - Height²) = √(68² - 45²) = √(4624 - 2025) = √2599 ≈ 50.9 inches. So, rounded to the nearest tenth, the width of the TV is approximately 50.9 inches! Did you know that the aspect ratio of TVs and monitors, typically 16:9 for widescreen, also plays a significant role in their design? This means the width is 1.78 times the height, which enhances the viewing experience for movies and shows. So, keep an eye out for aspect ratios when shopping for a TV! When measuring your space for the TV, ensure that you allow for enough clearance around it to prevent overheating and to enhance sound quality. A common mistake is placing the TV too close to walls or other objects, which can muffle audio and cause heating issues. Aim for at least a few inches of clearance for optimal performance and longevity!