Kaizen's rectangular computer monitor has a diagonal length of 19 inches. If the height of the monitor is 11.9 inches, which of the following is closest to the width of the monitor in inches? Choose 1 answer: (A) 7.1 (B) 14.8 (c) 15.5 (D) 22.4

Question

Kaizen's rectangular computer monitor has a diagonal length of 19 inches. If the height of the monitor is 11.9 inches, which of the following is closest to the width of the monitor in inches? Choose 1 answer: (A) 7.1 (B) 14.8 (c)  15.5 (D) 22.4

Bytelearn · Accepted Answer

Use Pythagorean Theorem: We can use the Pythagorean theorem to find the width of the monitor. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the hypotenuse is the diagonal of the monitor, and the two sides are the height and the width of the monitor. The formula is c^2 = a^2 + b^2, where c is the diagonal, a is the height, and b is the width.Calculate Squares: First, we need to square the length of the diagonal and the height of the monitor. The diagonal is 19 inches, so 19^2 = 361. The height is 11.9 inches, so 11.9^2 = 141.61.Subtract Squares: Next, we subtract the square of the height from the square of the diagonal to find the square of the width. So, 361 - 141.61 = 219.39.Find Square Root: Now, we take the square root of 219.39 to find the width. The square root of 219.39 is approximately 14.81 inches.Choose Closest Measurement: Looking at the choices given, the closest to 14.81 inches is (B) 14.8 inches.

Full solution

More problems from Domain and range

Related topics