Measure the height of your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the width of your monitor as well. Use the Pythagorean Theorem to find the length of the diagonal of your monitor. How do I measure it the the sixteenth of an inch? And how would I apply the Pythagorean Theorem to this?

I found the height which is 14 inches
The width is 15.5 inches

Try and draw it out

The pythagorean theorm says

a^2 + b^2 = c^2

15.5^2 + 14^2 = c^2

To measure the height of your computer monitor to the sixteenth of an inch, you'll need a ruler or tape measure with markings for sixteenths of an inch. Here's how you can do it:

1. Place the zero end of the ruler or tape measure at the bottom of the monitor screen.
2. Read the measurement where the top of the screen aligns with one of the markings. If the top aligns between markings, estimate the measurement to the nearest sixteenth of an inch.

For example, if the top of your monitor aligns with the 14/16 inch marking, you can read the height as 14 inches and 14/16 inch, which can be simplified as 14 and 7/8 inches.

Now, let's move on to applying the Pythagorean Theorem to find the length of the diagonal of your monitor. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In your case, the height of your monitor is one side, the width is another side, and the diagonal is the hypotenuse. To find the length of the diagonal:

1. Square the height and the width:
Height^2 = 14^2 = 196
Width^2 = 15.5^2 = 240.25

2. Add the squares together:
196 + 240.25 = 436.25

3. Calculate the square root of the sum:
√436.25 ≈ 20.88 inches

Therefore, the length of the diagonal of your monitor is approximately 20.88 inches.