1stweek

• Hypotenuse- it is always the longest side of a triangle and it is always opposite of the right triangle.
• Leg rule- the leg of each rule of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse adjacent to the leg.
• 30-60-90:

  Hypotenuse= 2 x shorter leg

  Longer leg= shorter leg x √3

  Shorter leg= hypotenuse/2

  Shorter leg= longer/√3
• Altitude- separates the right triangle into two triangles which are similar to each other and to the original triangle.
• Pythagoras (570-495 BC)

  • Born in Samos, Greece
  • Pythagoras of Samos is his full name
  • Books: The Golden verses of pythagoras, the life and philosopy of pythagoras, influence of pythagoras on freemasonry
• Pythagorean theorem- in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.