Question

the size of a rectangular computer monitor is determined by the length of its diagonal. if a computer monitor has a length of 24 inches and a height of 18 inches, what is the length of its diagonal to the nearest inch? 30 inches 15 inches 21 inches 42 inches

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle (a rectangle's diagonal forms two right triangles with its length and height), the theorem is \( c = \sqrt{a^2 + b^2} \), where \( a = 24 \), \( b = 18 \), and \( c \) is the diagonal.

Step2: Calculate \( a^2 + b^2 \)

\( 24^2 + 18^2 = 576 + 324 = 900 \)

Step3: Find the square root

\( c = \sqrt{900} = 30 \)

Answer:

30 inches