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A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?

A.9
B.13
C.22
D.55
Is the answer D?

The answer was C you helped me so much please help me more when you can Brady!! Thank you.

The correct is c 22 trust me will pass it.

Could the answer be C?

Yes Brady or is. I did 36^2+42^2=3060 √3060=55.317 so D would be the answer right?

Yeah, it could be, I looked some things up, and it said 21.6 as the answer or close to 22. However, I don't know which answer is correct now. Sorry.

ITS 22!! I have saved the day!!

It's not D, but C. If you use C to find the diagonal length it will work, but D won't. Watch this, I will use Pythagoras Theruom.

This is C. = √22²+36²= 42
This is D. = √55²+36²= 65.7
Your Welcome

Yeah, I will help you when I can! :)

It can't be 55 inches. You're told that the diagonal, which is the hypotenuse of the right triangle, is 42 inches. The hypotenuse (side opposite the right angle) is ALWAYS the longest side in a right triangle, which eliminates 55 inches as a possible answer. Using the pythagorean theorem, the answer is the square root of 42 squared minus 36 squared, which is 21.6 inches, which rounds up to 22. By the way, modern TVs use a 16:9 aspect ratio (ratio of width to height), so for a width of 42 inches, a proportionate height should be 25 inches -- so the dimensions of this problem are slightly off.

THe aspect ratio, or ratio of screen width to height, is 16:9 for modern TVs. The diagonal is the hypotenuse in a right triangle, with the width and height as the other two legs. With this ratio and the pythagorean theorem, the width and height can be found when the diagonal size is known. a 25 inch diagonal screen has width of about 22 inches, and height of about 12 inches. a 50 inch screen will have width of about 44 inches, and height of almost 25 inches.