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Pythagorean Theorem & Basics of Triangles definitions
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Triangle
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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.
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Terms in this set (15)
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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.