Youre purchasing a new television with a 32" screen. the 32" measurement represents the diagonal measurement of the screen. You remember the height at the store was 16". What is the width of the Tv (rounded tot he nearest inch)

A. 16 inches

B. 28 inches

C. 36 inches

D. 26 inches

B. 28 inches

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse (diagonal)

16^2 + b^2 = 32^2

256 + b^2 = 1024

Subtract 256 from each side

256-256 + b^2 = 1024-256

b^2 = 768

Take the square root of each side

sqrt (b^2) = sqrt (768)

b = 27.7128129

Rounding to the nearest inche

b = 28 inches