The formula to calculate the diagonal measurement of a couch is:
\[ D = \sqrt{L^2 + W^2 + H^2} \]
Where:
The diagonal measurement of a couch is the length of the line segment that runs from one corner of the couch to the opposite corner, passing through the interior of the couch. This measurement is useful for determining whether the couch can fit through doorways, hallways, and other tight spaces during delivery or rearrangement. It is calculated using the Pythagorean theorem extended to three dimensions, taking into account the length, width, and height of the couch.
Let's assume the following values:
Step 1: Calculate the diagonal measurement using the formula:
\[ D = \sqrt{200^2 + 80^2 + 90^2} = \sqrt{40000 + 6400 + 8100} = \sqrt{54500} \approx 233.49 \]
The diagonal measurement is approximately 233.49 cm.