Exploring the Properties of Scalene Triangles | Side Lengths, Angles, Perimeter, and more!

scalene triangle

A scalene triangle is a type of triangle in which all three sides have different lengths

A scalene triangle is a type of triangle in which all three sides have different lengths. In other words, none of the sides are equal in length.

Properties of a Scalene Triangle:
1. Side Lengths: In a scalene triangle, all three sides have different lengths. This distinguishes it from other types of triangles such as equilateral (where all sides are equal) or isosceles (where at least two sides are equal).
2. Angles: Since the side lengths are different, the angles in a scalene triangle are also different. Each angle can have a unique measure.
3. Perimeter: The perimeter of a scalene triangle is found by adding the lengths of all three sides. It varies depending on the lengths of the sides.
4. Area: The area of a scalene triangle can be calculated using the formula: A = (base * height) / 2, where the base is any of the sides and the height is the perpendicular distance from the opposite vertex to that base.

Properties that are NOT present in a Scalene Triangle:
1. Equal Angles: Since the side lengths are different, the angles in a scalene triangle are also different. Therefore, none of the angles are equal.
2. Equal Side Lengths: In a scalene triangle, all three sides have different lengths. Thus, no sides are equal.

Example: Let’s consider a scalene triangle with side lengths of 5 cm, 7 cm, and 9 cm. None of the sides are equal in length. The angles will also vary, and it does not satisfy the properties of an equilateral or isosceles triangle.

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