Mathematic

How to Identify Types of Triangles by Sides?

How to Identify Types of Triangles by Sides?

Identifying Types of Triangles by Sides

The triangle is perhaps most common shape ever studied in geometry. It is a kind of polygon which has three sides. A triangle eventually has three vertices as well. Types of triangles based on their sides

  • An EQUILATERAL triangle has all three sides the same length.
  • An ISOSCELES triangle has two sides with the same length.
  • A SCALENE triangle has all three sides different lengths.

Equilateral triangle: The Equilateral triangle shown on the left has three equal sides and three equal angles. Equilateral triangle-a triangle with exactly 3 congruent sides. Each angle is 60°.

In the above triangle, all the sides of triangle denoted by ‘a’ are equal and angles are equal to 60°. So, the above geometrical figure represents a equilateral triangle.

Isosceles Triangle: The Isosceles triangle shown on the left has two equal sides and two equal angles. Isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides).

In the above triangle, sides ‘a’ are equal and angle ‘x’ are also equal. Hence it is an isosceles triangle.

Scalene Triangle: The Scalene Triangle has no congruent sides. In other words, each side must have a different length. Scalene triangle-a triangle with no congruent sides.

In the above triangle, all the sides of triangle denoted by a, b and c are unequal and angles x, y and z are also unequal. Hence, the above geometrical figure represents a scalene triangle.