Concise Mathematics Class 9 ICSE Solutions for Chapter 12 - Pythagoras Theorem

Numerous examples present before the problems help students gain confidence in solving challenging problems on Pythagoras Theorem, with ease.

Vedantu Selina Solutions for Chapter 12 Pythagoras Theorem will help students to understand the concepts of Pythagoras Theorem, and various criteria for congruence. Before jumping to solve the problems on Pythagoras Theorem let us revise the important concepts of Pythagoras Theorem.

Chapter 12, Pythagoras Theorem is composed of 2 Exercises and the solutions given here contain answers to all the questions present in these Exercises.

In Chapter 12 of Class 9, the students are taught about the Pythagoras Theorem. This Chapter also belongs to the Unit Triangle. The Chapter helps students in understanding the proof and simple applications of the Pythagoras Theorem as well as its converse. Study the Chapter 12 of Selina textbook to understand more about Pythagoras Theorem.

What is the Pythagoras Theorem?

Consider a right-angle triangle ABC, with its three sides namely the opposite, adjacent and the hypotenuse. In a right-angled triangle we refer to the three sides in order to their relation with the angle. The square in the right corner of the triangle given below denotes the right angle which is equal to 90°.

The side opposite to the right angle is the longest side of the triangle which is known as the Hypotenuse(H). The side that is opposite to the angle θ is known as the Opposite(O). 

And the side which lies next to the angle  is known as the Adjacent(A)

The Pythagoras Theorem states that, in a right angled triangle,

(Opposite)² + (Adjacent)²= (Hypotenuse)²

Selina Class 9 Chapter 12 Pythagoras Theorem ICSE Board

• Chapter 12 Pythagoras Theorem has two exercises and the solutions to all the questions present in these exercises are available in PDF format.

• Chapter 12 Pythagoras Theorem helps students in understanding the proof and applications of this Chapter with the converse theorems

Concise Mathematics Class 9 Chapter 12 Pythagoras Theorem

Now, we will look at the important concepts involved in ICSE Selina Class 9 Chapter 12 Pythagoras Theorem.

Selina Concise Mathematics Class 9 Icse Chapter 12 Pythagoras Theorem Includes The Following Topics:

1. Introduction 

Consider a right-angled triangle ABC with its three sides A, B, and C, where A is the Opposite, B is the Adjacent and C is the Hypotenuse. 

In a right-angled triangle, we consider the three sides in a sequence to their relation with the angle. The square represented in the right corner of the below triangle is equal to 90°.

The side opposite to the right angle is the longest side of the triangle which is known as the Hypotenuse (H); the side opposite to the angle θ is known as the Opposite (O) and the side which lies next is known as the Adjacent side (A)

The Pythagoras Theorem in a right-angled triangle has the following equation:

(Opposite)² + (Adjacent)²  = (Hypotenuse)²

2. Applications of Pythagoras Theorem

• To know whether or not the triangle is right-angled.

• In a right-angled triangle, we can calculate the length of any side with the help of the Pythagoras Theorem if the other two sides are given.

• To find the diagonal of a square.

3. Converse of Pythagoras Theorem Statement

The Converse of Pythagoras Theorem statement says that if the sum of the squares of two sides always equals the longest side of a triangle, in this case, the triangle is known to be a right triangle.

In ΔABC, if c²=a²+b², and ∠C is 90°, the  ΔABC is a right-angled triangle.

Benefits of Vedantu Selina Solutions Concise Mathematics Class 9

• Concise Selina Solutions for Class 9 Mathematics are prepared by highly skilled subject experts.

• Vedantu Selina Solutions are designed  according to the latest ICSE syllabus; these solutions give in-depth knowledge about the respective topics

• Subject experts try to give detailed explanations along with the labelled diagrams for a thorough understanding of concepts.

• Class 9 Chapter 12 Solutions are available in PDF format, which can be downloaded for free and accessed offline.

• The Vedantu Selina Mathematics Class 9 Chapter 12 PDF Pythagoras Theorem Solutions focuses on answering the questions in the right way to encourage students to solve the problems with full confidence and to fetch full marks in the examination.

• All the Selina Mathematics Solutions are created by our Mathematician experts who have vast academic experience. Faculties at Vedantu try to create a friendly environment for studying. 

• At Vedantu, the students can ask their doubts anytime and understand every conception detail. By referring to these Selina ICSE Solutions for Class 9 you can easily get high marks in ICSE Class 9 Examinations.

Why Vedantu?

The Concise Selina Solutionsfor Mathematics Class 9 by Vedantu  is considered one of the best resources to master Mathematics. The solutions to the problem are given here in a standardized format with shortcut methods to ensure an easy understanding of the concept and scoring good marks in the upcoming exam.

Key Features of Vedantu Solutions 

The Vedantu Selina Mathematics Solutions are designed to give maximum information to students preparing for the ICSE Class 9 examinations. The questions are answered in a step-by-step and easy to understand manner. By referring to Vedantu Solutions, students can grasp the concepts behind the solutions very quickly. This will not only aid students by giving them the confidence to answer all sorts of questions in the examinations but will also ensure that they learn the concepts in the long run as well. 

Some of the Features of Vedantu Solutions are:

• Easy & reliable solutions

• Available free of cost

• Highlight important examination questions

• Step-by-step solutions for all questions

• Prepared by subject experts

• Designed according to the latest ICSE syllabus pattern

• Available online 24/7

• In-depth knowledge of the Chapter is provided in easy language.

• Is based on the latest ICSE syllabus.

• Best study material to prepare for the Class 12 ICSE board exam.

• All the doubts that might arise while solving the exercise questions will vanish by going through these Vedantu Selina solutions

The Vedantu Selina Mathematics Class 9 Chapter 12 pythogoras theorem Solutions focuses on answering the questions in the right way to encourage students to fetch full marks in the examination.

All the Selina Mathematics Solutions are created by our experts who have vast academic experience.

ICSE Class 9 syllabus is vast and needs concentrated efforts on the part of the students to face the examinations and shine out successfully. The Vedantu Selina Concise Mathematics Class 9 ICSE solutions pdf includes details for all Chapters from the subject. This will allow the students to examine and understand every concept even if practising for the first time.

By studying these Selina ICSE Solutions for Class 9 you can easily get high marks in ICSE Class 9 Examinations.