I need a non-vector solution to the following problem: Given a triangle ABC. P, Q and R are points on the sides AB, BC and CA respectively and are such that $AP:PB=BQ:QC=CR:RA$. If $\triangle PQR$ is isosceles show that $\triangle ABC$ is also isosceles.
Points on sides
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geometry
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1This is not true. – 2012-06-24