Question

a computer monitor has a diagonal of 20 inches and a width of 16 inches. how tall is the computer monitor? the computer monitor is 12 inches tall. the computer monitor is between 25 and 26 inches tall. the computer monitor is 4 inches tall. the computer monitor is 6 inches tall.

Explanation:

Step1: Apply Pythagorean theorem

Let height = $h$. Then $16^2 + h^2 = 20^2$

Step2: Calculate squares

$256 + h^2 = 400$

Step3: Solve for $h^2$

$h^2 = 400 - 256 = 144$

Step4: Find square root

$h = \sqrt{144} = 12$

Answer:

The computer monitor is 12 inches tall.