Question

in a triangle ABC AD is perpendicular bisector of BC show that triangle ABC is an isosceles triangle withAB=AC​

Answer 1

Answer:

Step-by-step explanation:

in △ABD and △ACD, we have  

DB=DC ∣ Given

∠ADB=∠ADC ∣ since AD⊥BC

AD=AD ∣ Common

∴ by SAS criterion of congruence, we have.

△ABD≅△ACD

⇒AB=AC ∣ Since corresponding parts of congruent triangles are equal

Hence, △ ABC is isosceles.

Answer 2

Answer:

By SAS criteria AB=AC is an isosceles triangle