Pythagoras is a mathematical concept regarding right-angled triangles. The rule of Pythagoras' Theorem is that in a right-angled triangle, $ c^2=a^2+b^2 $. This, alongside trigonometry allows for a variety of applications.


Pythagoras' Theorem can be be applied to any right angled triangle. The main application of Pyrathogoras' Theorm is when a right angled triangle is given but with only two sides' length given. Every side can be solved through one of the following formulas:

  • $ c^2=a^2+b^2 $, ∴ $ c=\sqrt{a^2+b^2} $
  • $ a^2=c^2-b^2 $, ∴ $ a=\sqrt{c^2-b^2} $
  • $ b^2=c^2-a^2 $, ∴ $ b=\sqrt{c^2-a^2} $


Pythagoras' Theorem relies on a few rules, including $ c<a+b $ but the rule is basic and accurate.

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