1.(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|. (b) Show that...

1.(a) Show that the length of the broken line satisfies Length(L) ≥ |AB|.

(b) Show that L achieves the lower bound
Length(L) = |AB|

if and only if the vertices V1,...,Vk−1 all lie on the segment AB and appear in that orderonAB,i.e.,theysatisfyVi ∈Vi−1Vi+1 forall1≤i≤k−1.

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Colby Messinger answered 1 year ago

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