Question

If we have a tv cabinet that is 64 inches long and 56 inches high, how large a tv could we put in the space (leave two inches on all sides for the edging of the tv)?

Answer 1

60'' × 52'' or a 79.4'' TV

Explanation:

Leaving a room of 2 inches on all sides means we subtract 4 inches from the height and length to find the maximum dimensions of the TV.

With this, we get 60'' × 52''. To find the diagonal length of the TV, use the Pythagorean Theorem which simply states the length of the diagonal is equal to the square root of the sum of the squared dimensions.

`√(a^2+b^2) =c`

`√(60^2+52^2)=79.4`

Therefore your TV can have a maximum size of 79.4 inches.