High School

Thank you for visiting You want to buy a new TV The diagonal measure of the screen is 42 inches and the screen width is 36 6 inches What. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

You want to buy a new TV. The diagonal measure of the screen is 42 inches, and the screen width is 36.6 inches. What is the screen height? Round your answer to the nearest hundredth.

Use the Pythagorean theorem (\(a² + b² = c²\)) to solve the problem.

A. 28.52 inches
B. 21.79 inches
C. 44.37 inches
D. 31.24 inches

Answer :

Final answer:

To find the screen height, use the Pythagorean theorem with the diagonal measure as the hypotenuse and the screen width as one of the other sides. After the calculations, we find that the screen height approximately equals to 21.79 inches.therefore the correct option is b .

Explanation:

The subject here is Mathematics and this is a classic problem best solved via the Pythagorean Theorem. If you remember, Pythagorean theorem states that in a right triangle, the square of hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.

Here, the diagonal measure (c) is 42 inches, the screen width (a) is 36.6 inches and we need to find the screen height (b). So we can write the equation according to Pythagorean Theorem: (a)² + (b)² = (c)². Solving for b, we get: b = sqrt[(c)² - (a)²] = sqrt[(42)² - (36.6)²]. After calculating this, your screen height (b) rounds to approximately 21.79 inches. Therefore, option b) 21.79 inches is the correct answer.

Learn more about Pythagorean Theorem here:

https://brainly.com/question/19649203

#SPJ11

Thank you for reading the article You want to buy a new TV The diagonal measure of the screen is 42 inches and the screen width is 36 6 inches What. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany