Respuesta :

Answer:

12 inches

Step-by-step explanation:

We are using the Pythagorean theorem

a^2 +b^2 = c^2

The diagonal is c, or the hypotenuse

16^2 + b^2 = 20^2

256 + b^2 = 400

Subtract 256 from each side

256+b^2 -256 = 400-256

b^2 =144

Take the square root of each side

sqrt(b^2) = sqrt(144)

b = 12

Answer:

Step-by-step explanation:

Let the tall of the TV = x

Phythagorean Theorem

x² + 16² = 20²

x² + 256 = 400

x² = 400-256

x² = 144

x = √144 = √12*12

x = 12 inches