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Are Triangles with Equal Areas and Perimeters Congruent?

Are Triangles with Equal Areas and Perimeters Congruent?

  • Mordechai Ben-Ari2 
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  • First Online: 08 September 2022
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Abstract

Are two triangles with the same area and the same perimeter congruent? Not necessarily: the triangles with sides (17, 25, 28) and (20, 21, 29) both have perimeter 70 and area 210 but they are not congruent (Fig. 15.1).

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  1. Department of Science Teaching, Weizmann Institute of Science, Rehovot, Israel

    Mordechai Ben-Ari

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  1. Mordechai Ben-Ari
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Ben-Ari, M. (2022). Are Triangles with Equal Areas and Perimeters Congruent?. In: Mathematical Surprises. Springer, Cham. https://doi.org/10.1007/978-3-031-13566-8_15

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  • DOI: https://doi.org/10.1007/978-3-031-13566-8_15

  • Published: 08 September 2022

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-13565-1

  • Online ISBN: 978-3-031-13566-8

  • eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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