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Direct linkOxman, Victor; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2021
In this article we consider two triangles: one inscribed in another. We prove that the area of the central triangle is at least the harmonic mean of the areas of corner triangles. We give two proofs of this theorem. One is based on Rigby inequality and the other is based on the known algebraic inequality, to which we bring a new, geometric, proof.…
Descriptors: Geometry, Mathematics Instruction, Validity, Mathematical Logic
