If I have a tv cabinet that is 72inches long and 60 inches high how large a tv could I put in the space (leave 2 inches on all sides for the edging of the tv)
72 - 4 = 68
60 - 4 = 56
To determine the maximum size of the TV that can fit within the TV cabinet, you need to subtract the extra 2 inches from each dimension of the cabinet (length and height).
Length of the available space for the TV: 72 inches - 2 inches - 2 inches = 68 inches
Height of the available space for the TV: 60 inches - 2 inches - 2 inches = 56 inches
Now, consider that the TV's size is usually measured diagonally from corner to corner. To find the maximum diagonal size of the TV, you can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides (length and height).
Diagonal size of the TV = √((Length of available space)^2 + (Height of available space)^2)
Diagonal size of the TV = √((68 inches)^2 + (56 inches)^2)
Diagonal size of the TV ≈ √(4624 + 3136)
Diagonal size of the TV ≈ √7760
Diagonal size of the TV ≈ 88 inches
Therefore, the maximum size TV that can fit within the TV cabinet, leaving 2 inches on all sides for edging, is approximately 88 inches.