Posted by **holiday** on Thursday, March 24, 2011 at 11:10pm.

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 -
**Lena**, Friday, March 25, 2011 at 12:09am
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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