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Question

a and b form the consecutive sides of a regular hexagon ABCDEF.
AB=a,BC=b

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Solution

AB=a,BC=b
AC=AB+BC=a+a (i)
AD=2BC=2b (ii)
(because AD is parallel to BC and twice its length).
CD=ADAC=2b(a+b)=ba
FA=CD=ab (iii)
DE=AB=a (iv)
EF=BC=b (v)
AE=AD+DE=2ba (vi)
CE=CD+DE=bAA=b2a (vii)

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