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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