Respuesta :

Answer:

length = 62.41 inches

Step-by-step explanation:

Using pythagoras theorem -

Let

a = hypotenuse

b = height

c = length

a^2 = b^2 +c^2

75^2 = 41.6^2 + c^2

Therefore,

75^2 - 41.6^2 = c^2

5625 - 1730.56 = c^2

389.44 = c^2

square root (389.44) = c

62.40544848 = c

Answer:

62 inches.

Step-by-step explanation:

  • We need to use the Pythagorean theorem to solve this problem. If the diagonal of the screen is 75 inches, and the height is 41.6 inches, then these values represent B and C. We need to find the value of A, the length of the TV. Since [tex]A^{2} + B^{2} = C^{2}[/tex], all we have to do is
  • square 75, which gives us 5625
  • then subtract the value of 41.6 squared (1730.56)

and finally, take the square root of the number we are left with after subtracting [tex]B^{2}[/tex] , or 1730.56, from 5625, or [tex]C^{2}[/tex]

5625 - 1730.56 =3894.44

[tex]\sqrt{3894.44}[/tex] = 62.405

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