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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.

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Answer:

1-. Equilateral.

2-. 30,60,90

3-. Opposite the 60 degree angel.

4-. 54

Step-by-step explanation:

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The regular hexagon is both equilateral and equiangular. It can be observed that only an equilateral triangle has a vertex in the middle of the hexagonal lattice and shares 1 side only with the hexagon, so the regular hexagon can be partitioned into 6 triangles that are equilateral.

  • The length of the side of its regular hexagon is 6 units.
  • The hexagon could be partitioned into 6 congruent/equilateral triangles.
  • Apothem is perpendicular to the side and generates two 30°, 60°, and 90° right triangles.
  • The apothem is  3√3 units since it is opposite the 60° angle.
  • Whereas if the formula again for the area of a polygon is [tex]\bold{\frac{1}{2}\ (perimeter)(apothem)}[/tex], the area of the hexagon is 54√3 square units.

Learn more:

brainly.com/question/15706611

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