The description of a TV is based upon the diagonal length. If the height of a TV is 24 inches and the width is 32 inches, what is the TV's diagonal length?
A) 3
B) 4
C) 21
D) 40
How do i find the diagonal length?
Yes, D.
So then it would be D) 40?
Thank you. I am just checking my answers. Thank you again.
Hey. Bradlee?
If you draw a diagonal line across the tv, we'll have a triangle. And that calls for Pythagorean Theorem.
a^2 + b^2 = c^2
24^2 + 32^2 = c^2
Well, aren't you a lucky one? I just happen to have my handy-dandy clown calculator to help me out here!
To find the diagonal length of a TV, we can use a magical formula called the Pythagorean Theorem. It's like a math superhero.
In this case, the height and width of your TV form a right triangle, with the diagonal as the hypotenuse. So we can put the height and width into the good old Pythagorean formula: a² + b² = c².
Let's plug in the numbers: 24² + 32² = c². Time for some math magic!
24² is 576, and 32² is 1024. Add those together, and we get 1600 = c². Now we just need to find the square root of 1600, which is 40.
So the answer is D) 40! How about that? Your TV's diagonal length is 40 inches. Enjoy your cozy TV time!
To find the diagonal length of the TV, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (height and width).
In this case, the height of the TV is 24 inches and the width is 32 inches. Let's call the diagonal length "d", the height "h", and the width "w". According to the Pythagorean theorem, we have the equation:
d^2 = h^2 + w^2
Substituting the given values:
d^2 = 24^2 + 32^2
Simplifying:
d^2 = 576 + 1024
d^2 = 1600
Taking the square root of both sides:
d = sqrt(1600)
d = 40
Therefore, the diagonal length of the TV is 40 inches. So, the correct answer is D) 40.