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AD is the bisector of angle A such that AD is perpendicular to BC . Show that Triangle ABC is an isosceles triangle.
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GIVEN:- AD is perpendicular to BC.
PROVE:- ∆ABC is an isosceles ∆.
PROOF:- In ∆ABO & ∆ACO
AB = AC (given)
AOB= AOC (90°)
AO. = AO. (common side)
Hence, ∆ ABO is congruent to ∆ACO (SAS).
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