What is the run length of a 45 degree offset if the travel is 40 inches?

To determine the run length of a 45-degree offset when the travel is 40 inches, we need to consider the geometry involved in making a 45-degree bend.

When constructing a 45-degree offset, the relationship between the travel and the run length can be derived from the dimensions of the triangle formed by the offset. Specifically, the run length is calculated using the Pythagorean theorem since the offset represents two legs of a right triangle, each corresponding to the run and the rise of the offset.

For a 45-degree angle, the run and rise are equal. This means that the total travel (which can be thought of as the hypotenuse of the triangle) can be calculated as follows:

1. The run length (R) can be determined using the formula:

Travel = R × √2

Therefore, R = Travel / √2

2. Substituting in the travel of 40 inches:

R = 40 / √2 ≈ 40 / 1.414 = 28.28 inches

3. Rounding this value down to standard measurements, you arrive at approximately 28-1/4 inches.

Thus, the correct answer is 28-1/