Answer: a. 32 inches
Step-by-step explanation:
Hi, to solve this problem we have to apply Pythagoras’s theorem.
a² + b² = c²
Where c is the longest side of the triangle (formed by the height, width and diagonal of the TV), and a & b are the other two sides
If we try with option a), diagonal is 32 inches, tall is x and width is 2x.
Mathematically speaking:
32 ² = x² + 2x²
1024 = 3 x²
1024/3 = x²
√341.34=x
18.4752=x
We obtain that for option a )32 inches, the height of the TV is 18.4752 and its width is approximately 36.9 (2x = 2 (18.47) = 36.9)
36.9≅36 (distance between windows)
Option a is the lowest value, the other options will give greater values of width.
So, the correct option is a. 32 inches.
