+491 A computer monitor is 20 inches wide. The aspect ratio is 16:9. What is the length of the diagonal of the screen to the nearest whole inch?
+9466 The aspect ratio of a computer monitor is given as width : height. So....
width : height = 16 :9
We are given that the width is 20 inches
Let the height be h inches.
20 inches : h inches = 16 : 9
20 : h = 16 : 9
This means the same as..
20 / h = 16 / 9
Multiply both sides of the equation by h .
20 = h * 16/9
Multiply both sides of the equation by 9/16 .
20 * 9/16 = h
11.25 = h
Now we can use the Pythagorean Theorem to find the length of the diagonal.
(width)2 + (height)2 = (length of diagonal)2
202 + 11.252 = (length of diagonal)2
400 + 126.5625 = (length of diagonal)2
526.5625 = (length of diagonal)2
√526.5625 = length of diagonal
length of diagonal ≈ 23 inches
+9466 The aspect ratio of a computer monitor is given as width : height. So....
width : height = 16 :9
We are given that the width is 20 inches
Let the height be h inches.
20 inches : h inches = 16 : 9
20 : h = 16 : 9
This means the same as..
20 / h = 16 / 9
Multiply both sides of the equation by h .
20 = h * 16/9
Multiply both sides of the equation by 9/16 .
20 * 9/16 = h
11.25 = h
Now we can use the Pythagorean Theorem to find the length of the diagonal.
(width)2 + (height)2 = (length of diagonal)2
202 + 11.252 = (length of diagonal)2
400 + 126.5625 = (length of diagonal)2
526.5625 = (length of diagonal)2
√526.5625 = length of diagonal
length of diagonal ≈ 23 inches
