Question

a television screen measures 50 inches diagonally and has a width of 30 inches. what is the height of the screen? 40 inches 20 inches 10 inches

Explanation:

Step1: Apply Pythagorean theorem

Let height = $h$, width = 30, diagonal = 50.
$$h^2 + 30^2 = 50^2$$

Step2: Calculate squared terms

$$h^2 + 900 = 2500$$

Step3: Isolate $h^2$

$$h^2 = 2500 - 900 = 1600$$

Step4: Solve for $h$

$$h = \sqrt{1600} = 40$$

Answer:

40 inches