Triangles and Their Properties

Mathematics & Statistics - Triangles and Their Properties - 15 slides

Explore Triangles and Their Properties, covering In this lecture, we explored the different types of triangles, including equilateral, isosceles, and scalene, along.

Topics Covered

  • Introduction to Triangles
  • Types of Triangles: Overview
  • Equilateral Triangles: Properties
  • Angle-Angle-Angle (AAA) Congruence
  • Applications of the Pythagorean Theorem
  • Perimeter of Triangles: Overview
  • Finding the Perimeter of Different Triangles
  • Isosceles Triangles: Properties
  • Scalene Triangles: Properties
  • Examples of Similar Triangles
  • Pythagorean Theorem: Introduction
  • Triangle Construction: Basics
  • Constructing Isosceles Triangles
  • Constructing Scalene Triangles
  • Triangle Applications in Architecture

References

  • Khan Academy (2021). Introduction to Triangles.
  • OpenStax (2021). Geometry Textbook. Ch. 4.
  • Khan Academy (2021). Types of triangles.
  • CK-12 Foundation (2023). Equilateral Triangle Properties.
  • Fowler, D. (2021) 'Pythagorean World Explained'. Geometry Journal, 12th edn. 25(3): 76-80.
  • CK-12 Foundation. (2023). 'Mathematics All-in-One'. Available at www.ck12.org.
  • Serge Lang (2005) Geometry. 2nd edn. Springer.
  • Artin, M. (1991) Algebra. Prentice Hall.
  • CK-12 Foundation. (2023). Isosceles Triangles. Available at: https://www.ck12.org.
  • OpenStax. (2023). Geometry: Scalene Triangles. Available at: https://www.openstax.org
  • Blitzer, R. (2017). Algebra and Trigonometry. New York: Pearson.
  • Allen, R. (2012). Geometry Classics. Oxford University Press.
  • Serge Lang (1997) Geometry: A High School Course. Springer.
  • Euclid. (300 BCE) Elements (translated by Heath, T.L., 1908).
  • OpenStax.org (2023) Geometry Basics
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