Question

IF


$\red{ \huge{A,B,C,D,E,F}}$
Is a
$\pink {\tt{Regular \: \: \: \: Hexagon} }$
With Center 'O'



$\blue {Then \: \: Show \: \: That }$
$\color{cyan}{\huge\overline{AB+AC+AD+AE+AF=3AD=6AO}}$
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Answer 1

Answer:

Attached

Step-by-step explanation:

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Answer 2

Solution :-

AB + AC + AD + AE + AF = AB+(AC+AF)+AD+AE

=AB+(AC+CD)+AD+AE

(Since AF=CD)

=2AD+(AB+AE)

=2AD+ED+AE (Since AB=ED)

=2AD+AD

=3AD

3(2AO)=6AO

(Since O is centerand AD=OD)

Thus

AB+AC+AD+AE+AF=6AO