Scalene triangle

A scalene triangle has three sides of different lengths. Its three angles are also unequal.

Triangle: A polygon with three sides and three interior angles. A scalene triangle is one type of triangle, distinguished by its side lengths.
Isosceles triangle: A triangle with at least two sides of equal length. Unlike a scalene triangle, it has a pair of equal sides and equal opposite angles.
Law of cosines: A formula relating the side lengths and one angle of any triangle. It finds unknown sides or angles in scalene triangles when right-angle methods do not apply.
3-4-5 triangle: A right triangle with side lengths 3, 4, and 5 units. Its three unequal sides make this a canonical scalene right triangle.
Side (geometry): A line segment forming one boundary of a polygon. Comparing the triangle’s three side lengths determines whether it is scalene.
Equilateral triangle: A triangle whose three sides have equal length and whose angles each measure 60 degrees. It is the opposite extreme from a scalene triangle in side-length equality.
Heron's formula: A formula for a triangle’s area using only its three side lengths. It calculates the area of a scalene triangle without requiring an angle measurement.
Heronian triangle: A triangle with integer side lengths and integer area. Many Heronian triangles are scalene, including the triangle with sides 13, 14, and 15.
Interior angle: An angle formed inside a polygon by two adjacent sides. Unequal side lengths in a scalene triangle correspond to unequal opposite angles.
Acute triangle: A triangle whose three interior angles are less than 90 degrees. Acuteness classifies angles, independently of the scalene side-length classification.

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