Question

in ∆ ABC , AD is the perpendicular bisector of BC show that∆ABC is an Isosceles triangle in which AB=AC​

Answer 1

Step-by-step explanation:

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it can also be done with SAS ,ASA . u can do this according to ur wish. I had done this by AA similarity creteria....

Answer 2

Answer:-

AD is the perpendicular bisector of BC (Given).

To show- AB=AC

Proof:-

In triangle ADB and ADC,

AD=AD (common)

∠ADB=∠ADC

BD=CD (AD is the perpendicular bisector)

Therefore, triangle ADB≅triangle ADC (SAS Congruence Condition)

AB=AC (Corresponding parts of Congruent Triangles)