How is the travel calculated for a 45-degree offset?

The travel for a 45-degree offset is calculated using the formula where the total travel distance equals 1.41 times the horizontal offset. This calculation is based on the properties of a right triangle, where the offset represents the horizontal run of the plumbing system.

For a 45-degree angle, the relationship between the legs of the right triangle can be derived from the Pythagorean theorem, where both legs (the vertical and horizontal distances) are equal. When you take the offset and consider that the travel in a diagonal line is longer than the straight horizontal or vertical components, you multiply the length of the offset by the square root of 2 (approximately 1.41) to find the actual distance traveled along the slope.

This understanding is fundamental in plumbing to ensure that the piping is laid out correctly maintaining appropriate lengths and angles for functionality and compliance with plumbing codes.