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Classroom Notes

An inequality between the area of a triangle inscribed in a given triangle and the harmonic mean of the areas of vertex triangles

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Pages 1253-1259 | Received 07 Dec 2019, Published online: 15 Oct 2020

References

  • Bottema, O., Djordjevic, R. Z., Janic, R. R., Mitrinovic, D. S., & Vasic, P. M. (1968). Geometric inequal- ities. Wolters-Noordhoff.
  • Coxeter, H. S. M., & Greitzer, S. L. (1967). Geometry revisited. Math. Assoc. of America.
  • Mitrinović, D. S., Pecaric, J. E., & Volenec, V. (1989). Recent advances in geometric inequalities. Kluwer.
  • Rigby, J. F. (1972). Inequalities concerning the areas obtained when one triangle is inscribed in another. Mathematics Magazine, 45(3), 113–116. https://doi.org/10.1080/0025570X.1972.11976209
  • Routh, E. J. (1909). A treatise on analytical statics with numerous examples, Vol. 1 (2nd ed.). Cambridge University Press. http://www.archive.org/details/texts.

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