Question

The measure of a big-screen television is given by the length of a diagonal across the screen. A 55-inch television has a width of 44 inches. Find the height of the screen and round that value to the nearest tenth of an inch.

Answer 1

To find the height of the screen, we can use the Pythagorean theorem.

Step-by-step explanation:

To find the height of the screen, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the diagonal of the screen) is equal to the sum of the squares of the other two sides (the width and height of the screen). In this case, let's use h to represent the height and d to represent the diagonal

d^2 = h^2 + w^2

Substituting the given values, we have:

55^2 = h^2 + 44^2

Simplifying, we get:

h^2 = 55^2 - 44^2

h = sqrt(55^2 - 44^2)

Calculating, we find that the height of the screen is approximately 20.4 inches.