Question

Kate just bought a tv that measures 42 inches diagonally, and is 18 inches tall. She wants to place the tv into a 40 inch wide cabinet. Will the tv fit and if so, how much room will be left (width) in the cabinet after the tv is placed?

Answer 1

9514 1404 393

Answer:

yes, about 2.05 inches

Explanation:

The Pythagorean theorem can be used to find the width of the TV.

w^2 +h^2 = d^2

w = √(d^2 -h^2)

w = √(42^2 -18^2) = √1440 = 12√10

w ≈ 37.95 . . . inches

This dimension is less than 40 inches by a margin of ...

40 -37.95 = 2.05 . . . inches

The TV will fit, with 2.05 inches of space remaining.