A television's size is
measured by the
diagonal length of the
screen. If a television is
24 inches tall and 32
inches wide, Find its
diagonal length.

Respuesta :

Answer:

This is a clear case to use the Pythagorean Teorem, as we need to calculate diagonal lenght of a rectangle, and to do so, we can divide it in right triangles.

As the Pythagorean Teorem says [tex]a^2 + b^2 = c^2[/tex]

We can now replace on [tex]a^2 + b^2 = c^2[/tex] the numbers we have [tex]24^2 + 32^2 = c^2[/tex]

Now, we solve [tex]24^2 + 32^2 = c^2[/tex] by operating:

[tex]\sqrt{1600} = b[/tex]; b = 40

The diagonal lenght is 40 inches r