Question

computer monitor measurements are typically classified by the diagonal length of the viewable area. what is the measurement of a monitor that has a rectangular viewable area of 16 inches by 12 inches? round your answer to the nearest tenth if necessary. a. 12.6 inches b. 16.4 inches c. 20 inches d. 7.5 inches

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the sides of the right - triangle and $c$ is the hypotenuse. In a rectangle, the diagonal forms the hypotenuse of a right - triangle with the sides of the rectangle. Here, $a = 16$ inches and $b = 12$ inches. So, $c^{2}=16^{2}+12^{2}$.

Step2: Calculate $16^{2}$ and $12^{2}$

$16^{2}=16\times16 = 256$ and $12^{2}=12\times12 = 144$. Then $c^{2}=256 + 144=400$.

Step3: Find the value of $c$

Take the square root of both sides. $c=\sqrt{400}=20$ inches.

Answer:

C. 20 inches