In the previous exercises of Maths chapter 7, students of class 9 have studied the congruence of sides and angles of a triangle. This must have helped them in understanding the similarities between two triangles. But what if two triangles are different from each other. Then how do we compare them? For this we need to know the concept of Inequalities in triangles. This concept is beautifully explained with the help of an activity in the NCERT Class 9 Maths Textbook. Students must read it to get in depth understanding of this topic. Also, the theorems based on the Inequalities in triangles has been illustrated before the exercise problems.
It happens that even though students have gone through all the theorem and activities of the NCERT books, still they are unable to solve the questions given in the exercise or get stuck in that. So, to help them we have provided the step by step NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.4 in PDF format. Students can download the complete solution pdf of exercise 7.4 from the link below.
Access Answers to NCERT Solutions for Class 9 Maths Chapter 7 – Triangles Exercise 7.4
Moreover, students can get the NCERT Solutions for all the classes from 4th to 12th by clicking on the NCERT Solutions.
Access other Exercise Solutions of Class 9 Maths Chapter 7 – Triangles
Students can have a look at the solution of all the remaining exercises of this chapter by clicking on the link below.
Exercise 7.1 Solution 8 Questions (6 Short Answer Questions, 2 Long Answer Question)
Exercise 7.2 Solution 8 Questions (6 Short Answer Questions, 2 Long Answer Question)
Exercise 7.3 Solution 5 Questions (3 Short Answer Questions, 2 Long Answer Question)
Exercise 7.5 (Optional) Solution 4 Questions
Students can also have a look at the NCERT Solutions of Class 9 for Science subject and other NCERT study material and notes.
NCERT Solutions for Class 9 Maths Chapter 7 – Triangles Exercise 7.4
This exercise covers the theorem related to the “Inequalities in a Triangle” and questions related to it. There are 3 theorems that are explained in this exercise. These are mentioned below:
- Theorem 7.6: If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater).
- Theorem 7.7: In any triangle, the side opposite to the larger (greater) angle is longer.
- Theorem 7.8: The sum of any two sides of a triangle is greater than the third side.
The exercise 7.4 contains a total of 6 questions which are based on the above theorems only. So, before starting to solve the exercise questions firstly understand these theorems in depth. Also, try to write the answers in steps because the questions will be based on proving. The solution provided in PDF will also help students in writing the answers in a better way so that they could score high marks in annual exams.
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