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Answer:
Step-by-step explanation:
i) In triangle ABD and ACD, we have:
AB=AC ( Given )
BD=DC ( Given )
AD=DA ( Common )
Hence Triangle ABD is congruent to Triangle ACD by SSS Criteria.
ii) Let's consider angle BDC = 180 degree
Angle ADB + Angle ADC = 180 degree
Hence, Angle ADB = Angle ADC = 90 degree.
iii) Angle B = Angle C, by CPCT of Congruent triangles.
iv) AD is the perpendicular bisector of BC, Thus it also bisects Angle A.
Hence, Angle BAD = Angle CAD. Also by CPCT..
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