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Area of SAS & ASA Triangles definitions

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  • Base
    One side of a triangle used in area calculations, often paired with a perpendicular height for formula application.
  • Height
    Perpendicular distance from a triangle's base to the opposite vertex, essential for area determination.
  • Sine Function
    Trigonometric ratio used to relate angles to side lengths, crucial for finding heights in non-right triangles.
  • Hypotenuse
    Longest side in a right triangle, used with an angle to determine height via trigonometric ratios.
  • Area Formula
    Expression for triangle area, often written as 1/2 times base times height or using sides and sine of an angle.
  • SOHCAHTOA
    Mnemonic for remembering trigonometric ratios, aiding in height calculation from angles and sides.
  • Law of Sines
    Relationship among triangle sides and angles, enabling calculation of unknown sides when two angles and a side are known.
  • ASA Triangle
    Triangle configuration with two known angles and the included side, requiring additional steps for area calculation.
  • Angle Sum Formula
    Rule stating that the sum of a triangle's interior angles equals 180°, used to find missing angles.
  • Variation
    Different forms of the area formula, such as 1/2 BC sin(A), 1/2 AC sin(B), and 1/2 AB sin(C), depending on given data.
  • Perpendicular
    Line or segment forming a right angle with the base, representing the height in area calculations.
  • Vertex
    Corner point of a triangle, often used as the endpoint for drawing the height from the base.
  • Side
    Edge of a triangle, labeled with lowercase letters, used in area and trigonometric calculations.
  • Angle
    Measure between two sides at a triangle's vertex, labeled with uppercase letters, essential for trigonometric formulas.
  • Non-right Triangle
    Triangle lacking a 90° angle, requiring trigonometric methods to determine area when height is not directly given.