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The celebrated Steiner-Lehmus theorem states that if the internal bisectors of two angles of a triangle are equal then the corresponding sides have equal lengths. That is to say if P is the incentre of Δ ABC and if BP and CP meet the sides AC and AB at B ′ and C ′, respectively, then An elegant proof of this theorem appeared in 1 and is reproduced in 2.
Abu-Saymeh et al. (Mon,) studied this question.
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