the bisector of the vertical angle of an isosceles triangle bisects the base at
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Let ΔABC be the isoceleus triangle with AB=AC and AD as vertical angle bisector
AB=AC
∠B=∠C
∠BAD=∠CAD
So by ASA criteria the triangles are congruent.
⟹BD=DC
So the bisector of vertical angel bisects the base
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