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Peer reviewedLevine, Deborah R. – Mathematics Teacher, 1983
The proof is given that, if three equilateral triangles are constructed on the sides of a right triangle, then the sum of the areas on the sides equals the area on the hypotenuse. This is based on one of the hundreds of proofs that exist for the Pythogorean theorem. (MP)
Descriptors: Geometric Concepts, Geometry, Mathematical Enrichment, Plane Geometry
Peer reviewedHaigh, Gordon – Mathematics in School, 1982
The material examines areas generated by combinations of: (1) Circles and Triangles; (2) Closely Packed Circles; and (3) Overlapping Circles. The presentation looks at examples of certain areas and at logical ways to generate the necessary algebra to clarify the problems and solve general cases. Ideas for extension are provided. (MP)
Descriptors: Geometric Concepts, Geometry, Instruction, Instructional Materials
Peer reviewedSiegel, Steven L. – Mathematics Teacher, 1982
A problem involving the search for an equivalence class of triangles is viewed to provide several exciting and satisfying moments of insight. After solving the original problem, there is a brief discussion of a slight variation and several notes regarding related theorems and ideas. References for additional exploration are provided. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Mathematical Enrichment, Mathematics Instruction
