Pythagoras theorem

• Pythagoras's theorem


  Used to calculate the missing length of a triangle
• Conditions to use Pythagoras's theorem

  • Triangle must have a 90 degree angle
  • Must know the lengths of two of the sides
• a, b, c


  The three sides of a right-angled triangle, where c is the longest side (hypotenuse)
• Steps to use Pythagoras's theorem

  1. Label the sides as a, b, c

  2. Plug the known values into the equation

  3. Solve the equation to find the missing side
• Pythagoras theorem


  • a and b represent the two shorter sides
  • c represents the longest side (hypotenuse)
• Using Pythagoras theorem to find the hypotenuse

  1. Plug a and b into the formula

  2. Add a^2 and b^2

  3. Take the square root to find c
• Using Pythagoras theorem to find a shorter side


  1. Rearrange the formula to c^2 - b^2 = a^2

  2. Plug in c and b

  3. Take the square root to find a
• If you add up marginal utility for each unit you get total utility