Question

Length of longest diagonal of a regular hexagon of side length 3 cm is?
(A) 4 cm (B) 5 cm
(C) 7 cm (D) 6 cm

Answer 1

Answer:

option d is correct answer 6 cm

Answer 2

Given:

To find Length of longest diagonal of a regular hexagon of side length 3 cm.

Solution:

Refer the image given below,

A hexagon consist of 6 equilateral triangle.

know that the all sides of equilateral triangle are equals.

The longest diagonal of hexagon are AD, BE and CF.

$\[AD = Ax + xD\]$

Know that, $\[Ax = xD = AB\]$ (sides of an equilateral triangle)

$\[\begin{array}{l}AD = AB + AB\\AD = 3 + 3\\AD = 6\,cm\end{array}\]$

Hence the the Length of longest diagonal of a regular hexagon is 6 cm.