the size of a rectangular computer monitor is determined by the length of its diagonal. If a computer monitor has a length of 24 inches and a height of 18 inches what is the length of its diagonal to the nearest inch

Respuesta :

Use Pythagorean theorem
18^2 + 24^2 = 900
root 900 and you will get 30in
30in is the answer.

Answer:

The length of its diagonal is 30 inches.

Step-by-step explanation:

Since, the diagonal of a rectangle is,

[tex]d=\sqrt{l^2+w^2}[/tex]

Where, l is the length of the rectangle,

w is the width or height of the rectangle,

Here, l = 24 inches,

w = 18 inches,

Hence, length of the diagonal of the given computer monitor is,

[tex]d=\sqrt{24^2+18^2}[/tex]

[tex]=\sqrt{576+324}[/tex]

[tex]=\sqrt{900}[/tex]

[tex]=30\text{ inches}[/tex]

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