In the triangular pyramid v-abc, VO ⊥ plane ABC, O ∈ CD, VA = VB, ad = BD. it is proved that CD ⊥ AB and AC = BC

In the triangular pyramid v-abc, VO ⊥ plane ABC, O ∈ CD, VA = VB, ad = BD. it is proved that CD ⊥ AB and AC = BC

It is proved that: VA = VB, ad = BD {VD ⊥ AB, VO ⊥ plane ABC, ab ⊂ plane ABC {VO ⊥ AB} plane VCD, CD ⊂ plane VCD {ab ⊥ CD, that is, CD ⊥ AB and ad = BD, CD = CD, ∠ BDC = ∠ ADC = 90 ° {ADC ≌ BDC} AC = BC