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:
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