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Step-by-step explanation:
We can extract two triangles, ABD and ADC.
In triangle ABC and ADC,
AB=AC (ABC is isosceles)
angle ADB= angle ADC ( AD is an altitude )
angle BAD = angle CAD (ABC is isosceles)
Thus, by the rule of ASA, ∆ABD = ∆ADC.
So, CB=CD (CPCT)
Thus, AD bisects BC.
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