# NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.5

Do you need NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.5 Triangles? Ex. 7.5 of class 9 Maths is an optional exercise for first term, but questions may also be asked from this exercise.

The complete exercise 7.5 is given here in PDF file format to use it offline, but online users can use it without downloading. Videos related to exercise 7.5 in Hindi and English Medium are also given here to practice well for exams.## Class 9 Maths Exercise 7.5 Solution in Hindi and English Medium

### NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.5 in Hindi and English Medium

Class: 9 | Mathematics |

Chapter: 7 | Triangles |

Exercise: 7.5 | NCERT Solutions in PDF and Videos |

### Class 9 Maths Exercise 7.5 Solution in Hindi Medium Video

#### Class 9 Maths Chapter 7 Exercise 7.5 Solution in Videos

#### Class 9 Maths Chapter 7 Exercise 7.5 Solution

##### Is exercise 7.5 of 9th Maths important for first term exams 2021-2022?

Exercise 7.5 has four questions. Questions from exercise 7.5 come in the exam or not depend on schools. Some schools give questions from this exercise in the exam. Some schools omit this exercise for the exams and teach only for knowledge.

##### Is 9th math exercise 7.5 considered as an optional exercise?

Yes, there may not be any question from this exercise in the exams.

##### Can students solve exercise 7.5 of class 9th Maths in 2 days?

Students can do exercise 7.5 of class 9th Maths in 2 days or not depends on student’s working speed, efficiency, capability, and many other factors. But if they try to do exercise 7.5 of grade 9th Maths in 2 days, they can do that because there are only 4 questions in this exercise.

##### Why should we do the optional Class 9 Maths exercise 7.5?

Optional exercises provide some extra tricky questions based on the main concepts of the chapter.

##### Is exercise 7.5 (chapter 7) of class 9 Maths easy to solve?

No, exercise 7.5 of class 9 Maths is not easy to solve. Exercise 7.5 is an optional exercise of chapter 7 (class 9 Maths), and also this exercise is tricky and challenging compared to other exercises of chapter 7.

##### What is the deleted portion from chapter 7 of class 9 Maths due to COVID-19?

The proof of theorem ASA is now deleted from the course, and questions based on inequalities and relation between angle and facing side inequality in triangle also deleted for session 2021-2022.

##### Which question is the most challenging question of exercise 7.5 of grade 9th Maths?

There are four questions in exercise 7.5 of grade 9th Maths. Question 4 is the most challenging question of exercise 7.5 of grade 9th Maths.

##### Important Points to be remembered

- Two shapes converge if they have the same shape and size.
- Two circles of the same radius are congruent.
- Two squares with the same side are congruent.
- If two triangles ABC and PQR correspond under the correspondence A, P, B ↔ Q and C and R, Mathematically, it is expressed as ΔABC ≅ ΔPQR.
- If the two angles of a triangle and the triangle are equal to the two sides and the other triangle angles are equal, then the two triangles are congruent (SAS Rule).

## Solution of Example 1 Class 9 Maths

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Show that AD = AE. Solution: In Δ ABD and Δ ACE, AB = AC (Given in the question) … (1) ∠ B = ∠ C (We know that the angles opposite to equal sides) … (2) It is also given that, BE = CD So, we have BE – DE = CD – DE Finally, we get, BD = CE … (3) So, Δ ABD ≅ Δ ACE (Using (1), (2), (3) and SAS rule). So, we get AD = AE (CPCT)

## Class 9 Maths Practice Question 2 Solution

In Δ ABC, the bisector AD of ∠ A is perpendicular to side BC. Show that AB = AC and Δ ABC is isosceles. Solution: In ΔABD and ΔACD, ∠ BAD = ∠ CAD (Given) AD = AD (Common) ∠ ADB = ∠ ADC = 90° (Given) So, Δ ABD ≅ Δ ACD (ASA rule) So, AB = AC (CPCT) or, Δ ABC is an isosceles triangle.