Find the position of point c

Discussion in 'Geometry and Trigonometry' started by sam110, May 7, 2023.

  1. sam110

    sam110

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    Find the position of point c among all triangles ABC that share side AB and have equal areas, in order to construct the triangle ABC with the smallest perimeter?
    Intuition tells me it's an isosceles triangle of a given area with |AC|=|BC|. I want you to prove it at the level of high school mathematics.
     
    sam110, May 7, 2023
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