Know your shape

Welcome! Are you the master of triangles? If YES then go on and take our quiz.

Triangle

A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices says P, Q, and R is represented as △PQR. It is also termed a three-sided polygon or trigon. In this mini-lesson, we will explore everything about triangles, which are commonly seen around us. If you observe the shape of signboards and your favorite sandwiches it forms the shape of a triangle.

Parts of Triangle

A triangle consists of various parts. It has 3 angles, 3 sides, 3 vertices.

Properties

Every geometry shape has fixed properties to identify the relationship between different sides and angles. In this section, we will study the important triangle properties listed below.

  1. 1. Triangle has three sides, vertices, and angles.


  2. 2. The angle sum property of a triangle states that the sum of the three interior angles of a triangle is always 180°. Such as in any given triangle PQR, angle P + angle Q + angle R = 180°.


  3. 3. Triangle inequality property states that the sum of the length of the two sides of a triangle is greater than the third side.


  4. 4. As per the Pythagorean theorem, in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides i.e., (Hypotenuse² = Base² + Altitude²).


  5. 5. Exterior angle property of a triangle states that the exterior angle of a triangle is always equal to the sum of the interior opposite angles.