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The rectangular face of a computer monitor has a length of 25 inches and a width of 12 inches. What is the diagonal length of the monitor?
O 16 inches
O 20 inches
O 23.3 inches
33.2 inches

The rectangular face of a computer monitor has a length of 25 inches and a width of 12 inches What is the diagonal length of the monitor O 16 inches O 20 inches class=

Respuesta :

Answer:

27.7 in

Step-by-step explanation:

Since the face of the monitor is a rectangle, the diagonal, length and width form a right triangle.  

Let d =  length of the diagonal

Using the Pythagorean theorem we have

[tex]25^{2} + 12^{2} = d^{2}[/tex]

625 + 144 = [tex]d^{2}[/tex]

769 = [tex]d^{2}[/tex]

d = [tex]\sqrt{769} = 27.7[/tex]  in