Question

Amit has a regular hexagonal garden.He wants to divide his garden into all possible congruent triangles using all possible diagonals of greatest length.Through this he wants to
find out total interior angles,each interior and exterior angle of a regular hexagon​

Answer 1

Given: ABCDEF is a regular hexagon.

Join  AE,BD

Consider DEFA and DBCD

EF=CD (sides of the regular hexagon)

AF=BC (sides of the regular hexagon)

∠EFA=∠BCD

△EFA≅△BCD

AE=BD(Corresponding sides of congruent triangles)

AB=ED  (sides of the regular hexagon)

AB is parallel to ED.

 Hence opposite sides of a regular hexagon are parallel.

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