Question

a computer screen has a diagonal dimension of 19 inches and a width of 15 inches. approximately what is the height of the screen? 4.0 inches 11.7 inches 16.0 inches 24.2 inches

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle (computer screen is a rectangle, so diagonal forms a right triangle with width and height), the theorem is \( a^2 + b^2 = c^2 \), where \( c \) is diagonal, \( a \) is width, \( b \) is height. So \( height^2 + width^2 = diagonal^2 \), rearranged: \( height = \sqrt{diagonal^2 - width^2} \).

Step2: Substitute values

Given diagonal \( c = 19 \), width \( a = 15 \). So \( height = \sqrt{19^2 - 15^2} \). Calculate \( 19^2 = 361 \), \( 15^2 = 225 \). Then \( 361 - 225 = 136 \). So \( height = \sqrt{136} \approx 11.7 \).

Answer:

11.7 inches (corresponding to the option: 11.7 inches)