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CTK Exchange
me2
guest
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Apr-13-08, 11:45 PM (EST) |
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"Triangle From Angle Bisectors"
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In the page "Triangle From Angle Bisectors" of CTK, is proofed that: "It is impossible to construct an isosceles triangle given the lengths of its 2 different bisectors (again, apart from the equilateral triangle). It is sufficient to prove this and it follows that the general triangle is also impossible to construct." In the work "Algebraic Topology-2006" of Paul Yiu, I found theorem (Mironescu - Panaitopol): "Given three positive numbers u, v, w, there is a triangle whose angle bisectors has lengths u, v, w", and the dilemma is born.Thank you for your time, and for your lovely, magic CTK. With gratitude, Niculae Elena
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