LCD Monitor Diagonal

LCD Monitor

Goal: Find the diagonal of the monitor.

The model for this problem (created by HarryP2511 on the 3D warehouse) claims to be a 19” LCD computer monitor. Computer monitors and television screens are measured on the diagonal.

The length of the monitor is 1’ 3” and the height is 1’ 1/4”

Confirm or refute this claim with a clearly written justification.

Note - The dimensions shown do not include the plastic housing of the monitor and you may round your final answer to the nearest inch.

Caution - What did you have to assume about this model to be able to compute your answer?

Scroll Down to see the solution:

Solution

The claim is accurate.

I first converted the dimensions to inches.

1' 3" = 15 inches

1' 1/4" = 12.25 inches

I used the Pythagorean Theorem to get a diagonal of 19.366 inches.

(note that 0.366 of an inch is closest to 1/4 of an inch)

I get 19 1/4 of an inch. If I round to the nearest inch, the claim is accurate.