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 c
abinet. Will the tv fit and if so, how much room will be left (width) in the cabinet after the tv is placed?
1 answer:
9514 1404 393
Answer:
yes, about 2.05 inches
Step-by-step 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.
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