The description of a TV is based on the diagonal length. If the height of a TV is 10 in. and the width is 7 in., what is the approximate diagonal length?
To find the diagonal length of the TV, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
So, in this case, the diagonal length (hypotenuse) is the unknown, and the height and width are the other two sides of the right triangle.
Let's denote the diagonal length as D, the height as H, and the width as W.
By using the Pythagorean theorem, we have:
D^2 = H^2 + W^2
D^2 = 10^2 + 7^2
D^2 = 100 + 49
D^2 = 149
Taking the square root of both sides, we find:
D = sqrt(149)
D ≈ 12.21 inches
Therefore, the approximate diagonal length of the TV is approximately 12.21 inches.