In the triangular pyramid v-abc, VA = VB = AC = BC

That is, AB midpoint D, connecting CD, VD
Because VA = VB and D is the midpoint of ab
So there is VD ⊥ AB in isosceles triangle VAB
Similarly, there is CD ⊥ AB in isosceles triangle cab
Because VD ∈ plane VAC, CD ∈ plane vac
So ab ⊥ plane VAC
Because VC ∈ plane vac
So ab ⊥ VC

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