Pythagorean Theorem and Trigonometry

  1. Pythagorean Theorem I \((c^{2}=?)\)
  2. Pythagorean Theorem II \((a^{2}+b^{2}=?)\)
  3. Pythagorean Theorem III \((c^{2}=?)\)
  4. Law of Cosines ("proof" for obtuse triangles)
  5. Law of Cosines ("proof" for acute triangles)
  6. Parallelogram Law (\(2a^{2}+2b^{2}=?)\)
  7. Sine of the Sum Formula

Note: The Law of Cosines, in the particular case of right triangles, corresponds to Pythagorean Theorem.


(*) Difficulty level: Lower Secondary