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Question

Prove that the bisector of the vertical angle of an isosceles triangle bisects the base at right angles.

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Solution

Let ΔABC be the isoceleus triangle with AB=AC and AD as vertical angle bisector
AB=ACB=CBAD=CAD
So by ASA criteria the triangles are congruent.
BD=DC
So the bisector of vertical angel bisects the base

1277312_1254407_ans_fc5c2439919e49cfb3de9404beabe5f5.PNG

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