scalene triangle
A triangle with no sides the same length
A scalene triangle is a type of triangle with three unequal sides and three unequal internal angles. It is opposite to an equilateral triangle that has three sides equal in length and three internal angles equal in measure.
Properties of a scalene triangle:
1. Unequal side lengths: In a scalene triangle, all three sides have different lengths, so there are no equal sides.
2. Unequal angle measures: In a scalene triangle, all three angles are different, so there are no equal angles.
3. No symmetry: There is no line of symmetry in a scalene triangle. Unlike an isosceles triangle, which has one line of symmetry, or an equilateral triangle, which has three lines of symmetry.
4. Area calculation: The formula to calculate the area of a scalene triangle is (1/2) x base x height, where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.
5. Perimeter calculation: To calculate the perimeter of a scalene triangle, add the length of all three sides.
6. No congruent parts: A scalene triangle cannot be superimposed exactly over any other scalene triangle because the sides and angles differ in size.
7. Right or obtuse angles: A scalene triangle can be a right triangle or an obtuse triangle, but it can never be an acute triangle because all angle measures are different.
8. Trigonometric functions: In a scalene triangle, the trigonometric functions (sine, cosine, and tangent) will have different values for each angle.
More Answers:
Exploring The Definition And Applications Of Right Angles In Geometry And TrigonometryAcute Angles: Definition, Examples, And Symbol | [Your Website’S Name]
Obtuse Angles: Definition, Measurement, And Examples