Question

In an isosceles triangle, the angle bisector of the vertical angle coincides with its?

Answer 1

Answer:

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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Answer 2

QUESTION:-

In an isosceles triangle, the angle bisector of the vertical angle coincides with its?

ANSWER:-

In the given triangle, the bisector triangle of the vertical angle concurs with its base at a right angle.

• Suppose ΔABC be the isosceles triangle having AB=AC and AD as their vertical angle bisector
• AB is equal to AC∠B which is equal to ∠C∠BAD=∠CAD
• So by ASA principles, the triangles are congruent that is BD=DC
• Consequently, the bisector  of vertical angle intersects the base

Hope it helps :D