Respuesta :

Answer:

The width is 64.3 inches

Step-by-step explanation:

Given

[tex]d = 90[/tex] --- diagonal

[tex]h = 63[/tex] --- height

Required

Determine the width (w) of the TV

To do this, we make use of Pythagoras theorem which is illustrated as:

[tex]d^2 = h^2 + w^2[/tex]

So, we have:

[tex]90^2 = 63^2 + w^2[/tex]

Evaluate all squares

[tex]8100 = 3969 + w^2[/tex]

Collect like terms

[tex]w^2 = 8100 - 3969[/tex]

[tex]w^2 = 4131[/tex]

Take positive square roots of both sides

[tex]w = \sqrt{4131[/tex]

[tex]w = 64.3[/tex] -- approximated

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