Question

A regular hexagon has a side length of 6 units.

The hexagon can be divided into six congruent and triangles.

The apothem is perpendicular to a side and forms two ° right triangles.

The apothem is 3√3 units because it is .

If the formula for the area of a polygon is

1/2(perimeter)(apothem), the area of the hexagon is √3 square units

Answer 1

Answer:The hexagon can be divided into six congruent and equilateral triangles. The apothem is perpendicular to a side and forms two 30-60-90 right triangles. The apothem is 3√3 units because it is opposite the 60-degree angle. If the formula for the area of a polygon is 1/2 (perimeter)(apothem) the area of the hexagon is 54 √3 square units