Ratios of the Areas of an Internal Hexagon to Its Star to the External Hexagon

side length of small △

3

show step 1

star to internal hexagon

1

show step 2

move three Δs inside

1

show step 3

move three Δs inside

1

answer

This Demonstration finds the ratios of the areas of an internal hexagon to its star to the external hexagon without doing calculations.