Question

How many inches is the diagonal distance.? WRITE THE ANSWER TO THE NEAREST INCH

Answer 1

Answer:

37 in (to the nearest inch)

Step-by-step 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)