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Isosceles Triangles With the Same Perimeter and Area

Mark E. Bradley

Open publisher page 6 citations

Abstract

In the February 1974 issue of the Mathematics Teacher, Robert W. Prielipp found two noncongruent isosceles triangles with the same perimeter and area. This leads to the question: Are there more than two isosceles triangles with the same perimeter, P, as well as the same area, k? I will show that there can never be more than two isosceles triangles having the same perimeter and area.

About this research paper

What this paper is about

In the February 1974 issue of the Mathematics Teacher, Robert W. Prielipp found two noncongruent isosceles triangles with the same perimeter and area. This leads to the question: Are there more than two isosceles triangles with the same perimeter, P, as well as the same area, k? I will show that there can never be more than two isosceles triangles having the same perimeter and area.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In the February 1974 issue of the Mathematics Teacher, Robert W. Prielipp found two noncongruent isosceles triangles with the same perimeter and area. This leads to the question: Are there more than two isosceles triangles with the same perimeter, P, as well as the same area, k? I will show that there can never be more than two isosceles triangles having the same perimeter and area.

Key concepts: Isosceles triangle, Perimeter, Combinatorics, Mathematics, Geometry

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