Pythagorean Theorem & Basics of Triangles definitions Flashcards
Pythagorean Theorem & Basics of Triangles definitions
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Triangle A closed geometric figure with three straight sides and three angles, fundamental in geometry and classified by side lengths and angles. Equilateral Triangle A polygon where all three sides are of equal length, and each angle measures 60 degrees, indicated by identical tick marks. Isosceles Triangle A polygon with exactly two sides of equal length, often marked with two identical tick marks on the equal sides. Scalene Triangle A polygon with all sides of different lengths and no equal angles, lacking any matching tick marks. Acute Triangle A polygon where all interior angles are less than 90 degrees, making it appear sharp or narrow at each vertex. Obtuse Triangle A polygon with one interior angle greater than 90 degrees, resulting in a noticeably wider angle at one vertex. Right Triangle A polygon with one angle exactly equal to 90 degrees, often the focus of the Pythagorean theorem. Angle The figure formed by two sides meeting at a vertex, measured in degrees, with the sum in a triangle always totaling 180 degrees. Hypotenuse The longest side in a right triangle, always opposite the right angle and typically represented as the diagonal. Leg One of the two shorter sides in a right triangle, which together form the right angle. Pythagorean Theorem A mathematical relationship in right triangles stating that the sum of the squares of the legs equals the square of the hypotenuse. Tick Mark A small line or symbol on a diagram indicating sides of equal length in a triangle. Vertex A point where two sides of a triangle meet, forming an angle. Degree A unit of measurement for angles, with the total in any triangle always adding up to 180. Side Length The measurement of a triangle's edge, used to classify triangles and solve for unknowns using geometric principles.
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