Area of SAS & ASA Triangles definitions Flashcards
Area of SAS & ASA Triangles definitions
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Base Any side of a triangle chosen as the reference side for calculating area, often paired with a corresponding height. Height The perpendicular distance from a vertex to the line containing the base, essential for area calculations. Sine Function A trigonometric ratio used to relate an angle to the ratio of the opposite side and hypotenuse in a right triangle. Hypotenuse The longest side of a right triangle, always opposite the right angle, used in trigonometric calculations. Area Formula An equation, such as 1/2 base times height, used to determine the surface enclosed by a triangle. Non-Right Triangle A triangle in which none of the angles is 90 degrees, requiring alternative methods for area calculation. SOHCAHTOA A mnemonic for remembering trigonometric ratios: Sine, Cosine, and Tangent, relating angles to side lengths. Law of Sines A relationship stating that the ratio of a side length to the sine of its opposite angle is constant in any triangle. ASA Triangle A triangle where two angles and the included side are known, often requiring the Law of Sines to find missing sides. Angle Sum Formula A rule stating that the sum of the interior angles in a triangle is always 180 degrees. Perpendicular A line or segment at a 90-degree angle to another, crucial for defining height in triangles. Variation A different form of the area formula, such as BC sin(A), AC sin(B), or AB sin(C), depending on known values. Vertex A point where two sides of a triangle meet, often used as a reference for drawing height. Included Angle The angle formed between two known sides of a triangle, essential for certain area formulas. Side Length The measure of a triangle's edge, necessary for applying area and trigonometric formulas.
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