AP is the angle bisector of angle BAC such that AP..1.. BC.
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a) In ∆APB ≈ ∆APC
angle APB = angle APC = 90°
AP = AP (common)
BP = CP (mid point p)
∆APB ≈ ∆APC (SAS)
b) Yes, BP = CP
As it's given in that AP is perpendicular to BC. It means P is the mid point of side BC. Which divide the side into 2 equal parts.
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