Class 9 | Chapter 11 | Constructions | Example 1

Example 1: Construct a triangle ABC, in which ∠B = 60°, ∠ C = 45° and AB + BC + CA = 11 cm.

This example is based on the the construction 11.6 of the chapter 11 of Class 9 – Constructions. It is recommended to watch construction 11.6 before you watch this video tutorial. 

To understand this you must be aware of the isosceles triangles and perpendicular bisector theorem. Perpendicular bisector theorem states that the any point of the perpendicular bisector of a line segment is always equidistant from the two endpoints of the line segment. Using this concept, we construct the triangle when following is given:

  • Perimeter of the triangle
  • Two base angles
It is also recommended to know how to construct:

Students does find this construction bit difficult to understand but, in reality, it is not difficult at all. All you need to understand is the concept and logic behind every problem. 🙂 Happy Learning!!!!

Chapter 11 – Constructions

This playlist covers all the questions, concepts, theorems and examples of chapter 11 (Constructions) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Written by 

Mathematics is like music - Enjoy it!!!