ABCDEF is a regular hexagon,,, Prove that AB + AC + AD + AE + AF = 6AO.

(direction sign {--} is present on the top of AB , AC,AD,AE,AF and 6AO)


given: ABCDEF is a regular hexagon with center O.
AB+AC+AD+AE+AF=AB+AC+AF+AD+AE=AB+AC+CD+AD+AE [since AF=CD]=AB+AD+AD+AE=2AD+AB+AE=2AD+ED+AE  [since AB=ED=2AD+AD=3AD=3*2AO   [since O is the center and AO=OD=6AO

hope this helps you

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