Final answer:
To calculate the perimeter of triangle LMN, add the lengths of all three sides. However, since the information provided discusses Kepler's laws and ellipses, it appears there might be a confusion in the question's context. The example given calculates the perimeter of a triangle as 600,000 km.
Step-by-step explanation:
To find the perimeter of triangle LMN, we simply need to add the lengths of all three sides together. However, the provided information seems to be discussing the properties of triangles within an ellipse, following the principles of Kepler's laws. The sum of the distances from any point on an ellipse to the two foci is constant.
Using the terminology from the information provided, we can determine the length of mf1 and hence find the perimeter of the triangle fimf2. The calculation provided states mf1 = 600,000 km - (100,000 km + 200,000 km) = 300,000 km. Now, to find the perimeter of triangle fimf2, we will simply add up fi, im, and mf2: 200,000 km + 100,000 km + 300,000 km. Thus, the perimeter is 600,000 km.