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solakis1
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Given a triangle ABC and a point M inside the triangle ,draw perpendiculars MZ,MD,ME at the sides AB,BC,AC respectively. Then prove:\(\displaystyle \frac{AB}{MZ}+\frac{AC}{ME}+\frac{BC}{MD}\geq\frac{2t}{r}\)
Where t is half the perimeter of the triangle and r is the radius of the inscribed circle
Where t is half the perimeter of the triangle and r is the radius of the inscribed circle