Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2

Question

2 years ago

9

Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2

cm of room on either side of the TV. If the TV screen measures 86 cm high, what is the largest size TVin inches, that you can purchase? TV's are measured based on the diagonal measure. (1inch = 2.54cm) Write your answer as an integer

Mathematics

1 answer:

Nadusha1986 [10] · Answer 1 · 2023-09-24T18:19:05+03:00

Answer:

404 inches

Step-by-step explanation:

Since a room of 2cm is to be left of either side of the TV, thus, the permissible required length of the TV is 136-2 = 134cm

Use Pythagoras Theorem,

h² = 134² + 86² = 17956 + 7396 = 25352

h = √25352 = 159.22 ≈ 159cm = 404.41 inches ≈ 404 inches.