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CAT 2021 Quant Question [Slot 1] with Solution 03

Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. It T is the midpoint of CD, then the length of AT, in cm, is
  1. \(\sqrt {13} \)
  2. \(\sqrt {14} \)
  3. \(\sqrt {12} \)
  4. \(\sqrt {15} \)
Option: 1

Since a regular hexagon can be considered to be made up of 6 equilateral triangles, a line joining the farthest vertices of a hexagon can be considered to be made up using the sides of two opposite equilateral triangle forming the hexagon. Hence, its length should be twice the side of the hexagon, in this case, 4 cm.

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