In regular hexagon
a)  diagonal

b)  diagonal

a) To find:
The exact length of the diagonal
Approach:
For a right triangle, for which the measure of the interior angles
Length of the longer leg (opposite to
Length of the hypotenuse (opposite to
In general
Length of the longer leg
Length of the hypotenuse
Calculation:
Given,
A regular hexagon
Since, we have a regular hexagon, all the six faces are congruent and also all the six face angles,
Thus, the measure of the length of each face of the polygon is
The measure of the each face angle of the polygon is
Here, the diagonal
Thus, the angles
draw the auxiliary line
b) To find:
The exact length of the diagonal
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