tanjiroukamadoanime tanjiroukamadoanime
  • 04-06-2024
  • Mathematics
contestada

A plasma 60" is advertised at Costco and you want to know if it fits in your car. You know the width of the TV is 54 inches.
How tall is the screen?

Respuesta :

olumideolawoyin
olumideolawoyin olumideolawoyin
  • 04-06-2024

Answer:

26.2 inches

Step-by-step explanation:

The diagonal of the TV = 60 inches while

its width = 54 inches.

The TV is a rectangle and the diagonal split it into two equal right-angled triangle, therefore

Pythagoras' Theorem is used to find the height of the TV.

[tex] {hypotenus}^{2} = {adjacent}^{2} + {opposite}^{2} [/tex]

[tex] {height}^{2} = {60}^{2} - {54}^{2} [/tex]

= (60 - 54)(60 + 54)

= (6)(114(

= 684

Take the square roots of both sides

height = √684

= 26 1534 inches

= 26.2 inches

Hence, the height of the TV is 26.2 inches

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