Parts of a Right Triangle

Notes

  • Capital letters are always used to represent the vertices of the three angles of a triangle.
  • Lowercase letters are often used to represent the sides of a triangle.
  • θ is the REFERENCE ANGLE in the example (below).
    • θ is a Greek letter, often used to represent geometric variables.
θ is the Reference Angle in this Example


x is the reference angle in this example.

Key Terms

  • Right Angle – a 90° angle (NOT a reference angle in Trig).
  • Right Triangle – a triangle with a 90° angle. 
  • Reference Angle – a given ACUTE (less than 90°) angle within a right triangle.
  • Legs – Smallest two sides of a right triangle.
    • They are perpendicular to one another, and adjacent to the 90° angle.
  • Opposite Leg – the SIDE across from the reference angle. 
  • Adjacent Leg – the SIDE next to (and attached to) the reference angle (not the Hypotenuse)
  • Hypotenuse – the longest side of a right triangle. It is across from the 90° angle.