In an adjoining figure AP bisects angle A such that AP perpendicular to BC
Prove that triangle APB= triangle APC
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In quadrilateral ACBD, AC = AD and AB bisects ∠A ) see figure). ... Corresponding parts of congruent triangles (c.p.c.t) are equal. ... ∠APB = ∠APC = 90°. ⇒ AP ⊥ BC. ⇒ AP is the perpendicular bisector of BC ...
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