Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

What is the difference between law of cosines and the Pythagorean theorem?

I really don't get this at all. Aren't they the same thing?

3 Answers

Relevance
  • Anonymous
    9 years ago
    Favorite Answer

    1) pythagorean theorem is applicable only for right angled triangles.

    2) law of cosines is applicable for all the triangles.

    law of cosines : c² = a² + b² − 2ab cos θ

    a,b,c are sides of any triangle and θ is angle between a,b

    pythagorean theorem :

    c² = a² + b².

    in a right angled triangle , where c is hypotenuse(side opposite to 90 degrees ) and a,b are other sides.

  • 9 years ago

    You could get the Pythagorean theorem from the law of cosines. In the Pythagorean theorem, one angle of the triangle has to be 90 degrees but the law of cosines can be applied to any triangle.

  • 9 years ago

    In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a plane triangle to the cosine of one of its angles...//

    the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle)..//

Still have questions? Get your answers by asking now.