Respuesta :

Step-by-step explanation:

Here we are going to use the Pythagoras theorem to get the Hight of the Television

[tex] {42}^{2} - {32}^{2} = x[/tex]

X Being the unknown side

[tex] {42}^{2} - {32}^{2} = 740 \\ x = \sqrt{740} = 27.2[/tex]

So the height is 27.2in

The Are of the screen would be L x B

27.2 x 32 = 870.2 in^2

We will use Pythagoras for the last question also

[tex] {40}^{2} + {32}^{2} = 2624 \\ \sqrt{2624} = 51.23[/tex]

She will need 51.23 in screen size