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# Help

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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?

Mar 23, 2018

#1
+7545
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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

Mar 23, 2018

#1
+7545
+2

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

hectictar Mar 23, 2018