NCERT Class 9 Maths Solutions PDF: In this post, we have discussed the solution of the Maths class 9 book which is followed in all CBSE schools. Solutions are given below with proper Explanation and utmost care has been taken to ensure that the solutions are correct. Answers provided will not only help in completing all the assignments but also help students in clearing their concepts. Students can download the solutions by printing the chapters by using the command Ctrl+P in google chrome and saving it in PDF format. All the best !! Please support us by sharing this website with your school friends.
Exercise 7.4 Class 9 Maths Chapter 7 Triangles
1. Show that in a right angled triangle, the hypotenuse is the longest side.

2. In Fig. 7.48, sides AB and AC of ∆ ABC are extended to points P and Q respectively. Also, ∠PBC<∠ QCB. Show that AC > AB.


3. In Fig. 7.49, ∠ B < ∠ A and ∠ C < ∠ D. Show that AD < BC.


4. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Fig. 7.50). Show that ∠ A > ∠ C and ∠ B > ∠ D.


5. In Fig 7.51, PR > PQ and PS bisects ∠ QPR. Prove that ∠ PSR > ∠ PSQ.


6. Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

Updated 2026–27 NCERT Class 9 Books & Chapter-Wise PDFs
Looking for all chapters and the latest 2026–27 NCF NCERT textbooks for Class 9? Open any chapter below to download its official PDF or read our Read Online & Notes study guide, or visit the complete NCERT Class 9 Books PDF (2026–27 Main Page) for all subjects or All NCERT Books PDF (Class 1 to 12).
Class 9 Maths Book: Ganita Manjari 8 chapters
Class 9 Maths Book (Hindi Medium): Ganita Manjari 8 chapters
- Chapter 1: स्वयं को प्रवृत्त करना — निर्देशांकों का उपयोग
- Chapter 2: रैखिक बहुपदों का परिचय
- Chapter 3: संख्याओं का संसार
- Chapter 4: बीजीय सर्वसमिकाओं का अन्वेषण
- Chapter 5: मैं हूँ गोल-गोल, ऊपर-नीचे
- Chapter 6: समष्टि मापन — परिमाप और क्षेत्रफल
- Chapter 7: संभावनाओं का गणित — प्रायिकता का परिचय
- Chapter 8: अगले पद का पूर्वानुमान — अनुक्रमों और श्रेढ़ियों का अन्वेषण