show that the bisector of an angle from vertex of an isosceles triangle bisects the base at right angle
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Consider PQR is an isosceles triangle such that PQ = PR and Pl is the bisector of ∠ P. Thus, ∠PLQ = ∠PLR = 90° and QL = LR. Hence, the bisector of the verticle angle an isosceles triangle bisects the base at right angle.
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