Pythagoras Theorem Trigonometry

• What Is The Equation Of Pythagoras Theorem?

  a^2 + b^2 = c^2
• What Type Of Triangles Can Pythagoras Theorem's Be Used?

  • Used for right-angled triangles
• Using Pythagoras' Theorem


  1. Find the two shorter sides

  2. Square them

  3. Add them together

  4. Take the square root to find the length of the hypotenuse
• Using Pythagoras to find the distance between points


  1. Draw the right-angled triangle

  2. Find the lengths of the two shorter sides

  3. Use Pythagoras to find the length of the hypotenuse
• Trigonometry


  Sin, Cos and Tan
• Trigonometry Formulas


  SOH CAH TOA
• Using Trigonometry Formulas


  1. Label the triangle

  2. Identify the side you want to find

  3. Choose the appropriate formula (SOH CAH TOA)

  4. Plug in the known values

  5. Solve for the unknown
• Angle of Elevation


  The angle between the horizontal and the line of sight to an object above the observer
• Angle of Depression


  The angle between the horizontal and the line of sight to an object below the observer
• Sine Rule


  sin A/a = sin B/b = sin C/c
• Cosine Rule


  a^2 = b^2 + c^2 - 2bc cos A
• Area of a Triangle


  Area = 1/2 ab sin C
• Make sure to label each side and angle of the triangle correctly when using trigonometry formulas