Final answer:
To calculate the length of the missing side in a right triangle using the lengths of the other two sides, the Pythagorean theorem is used. Without sufficient information, such as the length of the hypotenuse or the other leg, the length of the 'Long' side cannot be determined with only one side length given.
Step-by-step explanation:
To find the length of the missing side in a right triangle, assuming the given short side is one of the legs and the missing long side is the other leg, we use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides (the legs). If the hypotenuse is not given, more information is needed. Otherwise, if only the length of one leg is provided (in this case, 2 units), we cannot determine the length of the other leg without additional information. However, the examples provided involve squares and scale factors that might have been given for context, but are not directly related to the original question. If the hypotenuse and one leg are known, we can find the missing leg using the Pythagorean theorem: √(hypotenuse)² - (known leg)².
In the case that the hypotenuse is the unknown 'Long' value and the known leg (Short) is 2, we would rearrange the formula to solve for the Long side as follows: Long = √(hypotenuse)² - (Short)².