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Everything to know about scalene triangle

A triangle is a 2-D closed figure. It is regarded as one of the simplest forms of the polygon. Triangle consist of three sides and vertices and also the sum of an interior angle of a triangle is always is equal to 180 degrees. The triangles can be classified into different types based on their sides and angle measurements. Based on their sides there exist three types of triangles i.e. Equilateral where all the sides are equal, isosceles where any two sides are equal and scalene triangle where no side or angle is equal to each other. Thus the triangle that we draw randomly is none other than the scalene triangle.

  • A scalene triangle is a triangle with unequal sides and angles. Thus they are a special type of triangle with unique properties. Some of the essential properties of the scalene triangle include:
  • Under the scalene triangle, no side is congruent to each other.
  • The angles of a scalene triangle are also of different measurements but all the interior angles together form the sum of 180 degrees.
  • Also, there is no point and line of symmetry under the scalene triangle.
  • Under the scalene triangle, the angle which is opposite to the longest side is of the largest measurement.

These are some of the basic properties of the scalene triangle that makes it different from other types of triangles. Further, the scalene triangle can also be classified into different types based on their angle. These are mentioned below:

  • Acute Scalene triangle: A scalene triangle is acute-angled when all the angles measurements are below 90 degrees.
  • Obtuse Scalene triangle: A scalene triangle is called an obtuse-angled when any one of the angle measurements is above 90 degrees.
  • Right Scalene triangle: A scalene triangle will be termed as right-angled when one of the angles is exactly is 90 degrees. There also exists a special scalene right-angled triangle when the measurements of angles are 30, 60, and 90 respectively.

Thus one can easily understand different types of scalene triangles. Two major formulas are used for the calculation of scalene. These are perimeter and area.

  • Perimeter is used to calculate the total length around the triangle. It is nothing but the sum of all the sides of the triangle. Thus Perimeter= a+b+c (where a, b and c represents the sides of the triangle).
  • The area of a triangle is used to calculate the total area that is confined within its boundaries. The area of a triangle is represented by square units. To calculate the area of the scalene triangle following formula could be used:

Area of a triangle: ½ x b x h (where b and h represent the base and height of the triangle).

The major problem with this formula is that it can only be used when the height and base of the triangle are known. However, in absence of such information, this formula becomes redundant. To overcome such an issue heron’s formula is used as this formula uses the sides of the scalene triangle to arrive at its area.

Hence these are the basics of scalene triangle. One can clear all their doubts about it by seeking the expert help of Cuemath. Cuemath provides all the required information that not only makes learning is easy but also interesting.

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