You have a TV that is 24 inches tall by 32 inches wide. What is the length of the diagonal of the TV. (The measure from the bottom left to top right of the TV)(1 point)
Responses
1600 inches
1600 inches
56 inches
56 inches
40 inches
40 inches
1250 inches
To find the length of the diagonal of the TV, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two sides are the height (24 inches) and the width (32 inches) of the TV.
Applying the Pythagorean theorem:
Diagonal^2 = Height^2 + Width^2
Diagonal^2 = 24^2 + 32^2
Diagonal^2 = 576 + 1024
Diagonal^2 = 1600
Taking the square root of both sides to solve for the length of the diagonal:
Diagonal = √1600
The length of the diagonal of the TV is 40 inches. Therefore, the correct answer is:
40 inches