Answer:
37 in (to the nearest inch)
Explanation:
Assume the TV is rectangular ⇒ each corner is a right angle.
We need to find the length of the diagonal, so we can use Pythagoras' Theorem a² + b² = c² where a and b are the legs and c is the hypotenuse (diagonal) side of a right angled triangle.
In this diagram, a and b are the height and width, and the diagonal (c) is the hypotenuse.
Therefore, if a = 18 and b = 32 then:
18² + 32² = c²
324 + 1024 = c²
c² = 1348
c = √(1348)
c = 36.7151195...
c = 37 (rounding up to the nearest integer)
Therefore, the diagonal distance is 37 in (to the nearest inch)