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March 26, 2025
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NCERT Solutions for Class 10 Maths Exercise 6.5 Triangles
NCERT Solutions for Class 10 Maths Exercise 6.5: The Class 10 Maths Chapter 6 discusses Similar Figures, Similarity of Triangles, Areas of Similar Triangles, Pythagoras Theorem, Angle Bisector Theorem and many more Exercise 6.5 of Class 10 Maths talks about various theories related to the Pythagoras theorem. NCERT Solutions is one of the most useful study materials for Class 10 students. These solutions help the students to score maximum marks in the board examination.
Students require the right study material to ace their Class 10 CBSE Board exams. Embibe offers a set of over 480 practice questions for all the sub-topics of Class 10. Students should focus on practising all the in-text questions of Embibe to master the topic. Keep scrolling to access NCERT solutions for Class 11 Maths Exercise 6.5.
NCERT Solutions for Class 10 Maths Chapter 6: Important Topics
Class 10 Maths Exercise 6.5 is one of the most important chapters that teach the fundamental concepts of Triangles. The concepts are easy to understand, and students can easily follow the solutions while practising. It is advisable for the students to try their hands at different types of problems to become a pro in the topic. This becomes beneficial for the students to answer all questions asked in the exam, from easy to difficult.
Embibe delivers solutions to each and every question of the Exercise 6.5 Class 10 Maths textbook based on the latest syllabus. All the questions can be accessed for to achieve good marks. Moreover, Embibe offers NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for.
The list of topics involved in Class 10 Maths Chapter 6 is mentioned below:
| S.No | Topic Name |
|---|---|
| 1 | Similar Figures |
| 2 | Similarity of Triangles |
| 3 | Criteria for Similarity of Triangles |
| 4 | Areas of Similar Triangles |
| 5 | Pythagoras Theorem |
| 6 | Angle Bisector Theorem |
NCERT Solutions for Class 10 Maths Chapter 6.5: Points to Remember
Below are some important points to remember for NCERT Class 10 Maths Chapter 6.5. It helps during the revision of final exams.
- Theorem: The square of a hypotenuse is equal to the sum of the squares of the other two sides in a right-angled triangle. This is known as Pythagoras’ theorem.
- Theorem: In a right-angled triangle, if you draw a perpendicular line from the vertex of the right angle of a right triangle to the hypotenuse, then the triangles of both sides a perpendicular are similar to the whole triangle as well as to each other.
- Theorem: In a triangle, the angle that is opposite to the first side is a right angle if the square of one side of the triangle is equal to the sum of the squares of the other two sides.
- The converse of Pythagoras’ theorem: In a triangle, if the square of one side is equal to the sum of squares of the other two sides, then the angle opposite to the first side is a right angle.
- In any triangle, the sum of the squares of any two sides equals twice the square of half of the third side and twice the square of the median, which bisects the third side.
- Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle.
- Three times the square of any side of an equilateral triangle is equal to four times the square of the altitude.
NCERT Solutions for Class 10 Maths: All Chapters
Students can find the detailed NCERT Class 10 Maths solutions for all the chapters as provided below for your reference:
- Chapter 1: Real Numbers
- Chapter 2: Polynomials
- Chapter 3: Pair of Linear Equations in Two Variables
- Chapter 4: Quadratic Equations
- Chapter 5: Arithmetic Progressions
- Chapter 7: Coordinate Geometry
- Chapter 8: Introduction to Trigonometry
- Chapter 9: Some Applications of Trigonometry
- Chapter 10: Circles
- Chapter 11: Constructions
- Chapter 12: Areas Related to Circles
- Chapter 13: Surface Areas and Volumes
- Chapter 14: Statistics
- Chapter 15: Probability
FAQs on NCERT Solutions for Class 10 Maths Exercise 6.5
Some frequently asked questions related to NCERT Solutions for Class 10 Maths Exercise 6.5 are mentioned below.
Q: Is exercise 6.5 of Class 10 Maths important from an exam point of view?
Ans: Yes, from an exam point of view, Exercise 6.5 Class 10 is important. Questions come from this exercise in board exams every year. All questions and examples given in this exercise are equally important.
Q: What is the main topic of Exercise 6.5 of Class 10 Maths?
Ans: Exercise 6.5 of Chapter 6 of Class 10 is based on theorems involving right-angled triangles They are questions based on equilateral triangles, isosceles triangles, etc., so students need to remember formulas or theorems revolving around these special triangles.
Q: Which theorem is focused on in Class 10 Maths Chapter 6 Exercise 6.5?
Ans: Chapter 6 Exercise 6.5 of Class 10 is based on Theorem 6.7, Theorem 6.8 (Pythagoras Theorem) and Theorem 6.9(Converse of Pythagoras Theorem).
Q: State the Pythagoras Theorem.
Ans: The Pythagoras theorem denotes the fundamental relation between the 3 sides of a right-angle triangle. According to the Pythagoras theorem, in a right-angle triangle, the value of the square of the hypotenuse (this is the side opposite to the angle, which is 90°) is equal to the summation of the squares of the other two sides, so if ABC is a triangle where angle C is 90 degrees then: AB² = BC² + AC².
Q: Where can I find NCERT Solutions for Chapter 6 Exercise 6.5 of Class 10 Maths?
Ans: Students can find, reliable, comprehensive and easy-to-understand exercise 6.5 Class 10 Maths NCERT solutions at Embibe.
We hope this detailed article on NCERT Solutions for Class 10 Maths Exercise 6.5 helps you prepare for your exams in the best way possible. For more updates on Class 10 Maths exams, Stay tuned to Embibe.
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