The size of a TV is usually given by the length of the screen diagonal. If the screen dimensions of a TV are 16 inches by 12 inches, what size is this TV?

A)28 inch
B)20 inch
C)16 inch
D)12 inch

Respuesta :

Answer:

A

Step-by-step explanation:

You have to do step by step

Applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch

Recall:

  • Diagonal of a rectangle can be found using the Pythagorean Theorem given as: [tex]d = \sqrt{l^2 + w^2}[/tex]
  • Where, d = diagonal, l and w are the dimensions of the shape.

Given:

l = 16 inches

w = 12 inches

  • Therefore,

[tex]d = \sqrt{16^2 + 12^}\\[/tex]

[tex]d = \sqrt{400} \\\\\mathbf{d = 20 inches}[/tex]

Therefore, applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch

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