Question

ABCDEF us a regular hexagon of side 6cm . What is the length of segment AD?

Answer 1

When we connect the all the opposite points in a regular Hexagon, we get three diagonal.

In the attached diagram, you can see that these diagonals are AD, BE and CF.

We can also see that by doing this, we get 6 equilateral triangles and length of each side of triangle is equal to the length of the side of hexagon.

An equilateral triangle is a triangle with all sides of equal length.

Now you can see that each diagonal consists of 2 lengths.

So length of diagonal AD = 6 + 6 = 12 cm

Answer 2

Connect all the opposite points in a regular Hexagon, we obtain three diagonal AD, BE and .

We get 6 equilateral triangles.

Length of each side of triangle=  length of the side of hexagon.

An equilateral triangle is a triangle with all equal angles and equal sides

So, Length of diagonal AD = 6 + 6 = 12 cm