how many diagonals does a regular hexagon have
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Answer:
A hexagon has 9 diagonals. A diagonal of a polygon is a line segment that runs from one vertex of the polygon to another vertex, excluding the sides...
The given question is we have to find how many diagonals a regular hexagon has.
The hexagon is a closed shape polygon.
It has six equal sides and six equal angles.
The interior angle in the hexagon is 120° and the exterior angle is 60°.
since all the sides of the hexagon are equal in length their exterior angle measures 120°.
Therefore, the sum of the interior angle is 720°
In a regular hexagon, there were 9 diagonals in the form of six equilateral triangles.
In a regular hexagon, all diagonals are equal, which is easy to determine the length of all the diagonals.
If one part is given it is easy to find others.
A hexagon has six congruent sides and six congruent angles therefore, it is termed a regular polygon.
Based on the above observation it is found that the regular hexagon has 9 diagonals.
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