What is the formula used to calculate a 45 degree offset in layout work?

To calculate a 45-degree offset in layout work, the correct approach involves using the properties of a right triangle. In a right triangle with angles of 45 degrees, the legs (run and rise) are equal in length, leading to the diagonal (or hypotenuse) being the length of one leg multiplied by the square root of 2, which is approximately 1.414.

When determining the layout for a 45-degree offset, the formula integrates the legs of the triangle directly. Since both the run and rise are equal at a 45-degree angle, you would usually sum the run and rise together. However, when setting this up in practical applications, the focus on combining the distances as lengths would mean using the formula where you account for the increase of length in the 45-degree angle offsets.

Thus, the correct formula, which effectively represents how these two legs contribute to the 45-degree diagonal offset, is 1.414 times the sum of both the run and rise. This captures the essence of the triangle relationship at that angle, highlighting how the diagonal (offset) relates to the two equal legs. Hence, the other options do not accurately depict this relationship that arises in a 45-degree layout calculation.