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 42 inches 21 inches

Explanation:

Step1: Apply Pythagorean theorem

In a rectangle, if the length is $l = 24$ inches and the height is $h=18$ inches, and the diagonal is $d$. According to the Pythagorean theorem $d^{2}=l^{2}+h^{2}$.

Step2: Substitute values

Substitute $l = 24$ and $h = 18$ into the formula: $d^{2}=24^{2}+18^{2}=576 + 324=900$.

Step3: Solve for d

Take the square - root of both sides. $d=\sqrt{900}=30$ inches.

Answer:

30 inches