The Pentagon Problem
- Author:
- milansherman
Conjecture: As long as the two smaller pentagons are formed by connecting the midpoints of the next larger pentagon, the two ratios of the areas will always be equal, and the two ratios of the perimeters will always be equal.
Do you think this conjecture will always be valid? If not, are there any conditions under which it is always true? Is it true for other polygons?