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i want to buy a tv set, but the entertainment center i have is 30 inches by 40 inches, what is the largest tv set i can buy

  • math -

    TV sets are measured according to their diagonal distance from one corner to the opposite. Therefore, I feel as though for this question it's simply asking you to find the distance from the one corner to the opposite. To do this you want to view this as a triangle rather than a square and you want to find the hypotenuse.

    Recall: a^2 + b^2 = c^2
    with a and b being the 2 sides and c being the hypotenuse.

    30^2 + 40^2 = c^2
    900 + 1600 = c^2
    2500 = c^2
    square root of 2500 = c
    50 = c

    Therefore the largest TV set you could buy is a 50 inch!

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