scalene triangle
a triangle with no congruent sides
A scalene triangle is a type of triangle that has all three sides of different lengths. Unlike an equilateral or isosceles triangle that have at least two sides of equal length, a scalene triangle has no equal sides or angles.
To understand the properties of a scalene triangle, let us look at its characteristics:
1. Sides: A scalene triangle has no equal sides. It means all sides have different lengths. The shortest side is opposite the smallest angle, and the longest side is opposite the largest angle.
2. Angles: A scalene triangle has no equal angles. It means that every angle in the triangle has a different measure. The sum of all the angles in a scalene triangle is always 180 degrees.
3. Perimeter: The perimeter of a scalene triangle is the sum of the length of its three sides. It can be calculated by adding the length of the three sides: P = a + b + c, where P is the perimeter, and a, b, and c are the lengths of the sides.
4. Area: The area of a scalene triangle can be calculated using Heron’s formula, which involves the length of all three sides. The formula is given as:
Area of scalene triangle = √(s(s-a)(s-b)(s-c))
where s= (a+b+c)/2.
In conclusion, scalene triangles are a type of triangle distinguished for having all three sides of different lengths and all angles of different degrees. They are widely used in geometry and trigonometry calculations for various purposes.
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