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RS Aggarwal Class 7 Solutions Chapter-15 Properties of Triangles

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Last updated date: 19th Jun 2024
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Class 7 RS Aggarwal Chapter-15 Properties of Triangles Solutions - Free PDF Download

The chapter Properties of Triangles is in the syllabus for your SA-II examination. Class 7 is a foundational class and the concepts you learn here will act as a base for your studies in higher studies. A clear and logical understanding of the concepts here will help you in your further classes as well. Class 7 Maths Rs Aggarwal Solutions Chapter 15 PDF is prepared by our subject experts at Vedantu who have years of experience of teaching. These solutions will help you in formatting your answer correctly and score well in your exams. Also, the focus is given on providing an in-depth understanding of the topic. Download RS Aggarwal Class 7 Solutions Chapter 15 PDF here.You can also register Online for NCERT Class 7 Science tuition on Vedantu.com to score more marks in your examination.

 

Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Vedantu.com is No.1 Online Tutoring Company in India Provides you Free PDF download of NCERT Maths Class 7 solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Chapter wise Questions with Solutions to help you to revise complete Syllabus and Score More marks in your examinations.

 

We have provided step by step solutions for all exercise questions given in the pdf of Class 7 RS Aggarwal Chapter-15 Properties of Triangles. All the Exercise questions with solutions in Chapter-15 Properties of Triangles are given below:

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RS Aggarwal Solutions Class 7 Maths Chapter 15 Free PDF Download

Students can download RS Aggarwal Maths Solutions Class 7 Ch 15 PDF to help in their preparations for their final examinations. The properties of triangles that are discussed in the RS Aggarwal Class 7th Maths Chapter 15 are some fundamental concepts of mathematics.


  • Exterior Angle Property

According to the exterior angle property of a triangle, the exterior angle is equal to the two interior angles opposite to it. 


  • Angle Sum Property of Triangle

The total sum of all the angles of a triangle is equal to 180. For a ABC and angles A, B and C.


A+B+C=180


  • Equilateral Triangle

All the sides and interior angles of an equilateral triangle are equal. Each of the angles of an equilateral triangle is equal to 60⁰.


  • Isosceles Triangle 

Two sides of an equilateral triangle are equal to each other. Also, two interior angles adjacent to the equal sides are equal.


  • Right-angled Triangle and Pythagoras Theorem

One of the angle= 90⁰ and the side opposite to the right angle is called the hypotenuse. 


(side)² + (base)² = (hypotenuse)²


Class 7 Maths Weightage Marks

SA-I and SA-II are for a total of 40 and 70 marks respectively. The weightage marks of each chapter and the examination pattern are given below. Students can download RS Aggarwal Class 7th Maths Chapter 15, which includes different types of questions that will make the students familiar in solving them.


The time allotted for the SA-I mathematics exams is 2 hours and the examination pattern is as follows.

  • Very Short Answer Type Questions- 8 questions X 1 mark each.

  • Short Answer Type I questions- 4 questions X 2 marks each

  • Short Answer Type II questions- 4 questions X 3 marks each

  • Long Answer Type questions-  3 questions X 4 marks each


SR NO.

CHAPTER

WEIGHTAGE MARKS

1

INTEGERS

6

2

FRACTIONS & DECIMALS

7

3

SIMPLE EQUATIONS

7

4

LINES AND ANGLES

7

5

SYMMETRY

4

6

VISUALIZING SOLID SHAPES

2

7

DATA HANDLING

7


TOTAL

40


The time allotted for the SA-II mathematics exams is 2.5 hours and the examination pattern is as follows.

  • Very Short Answer type questions- 10 questions X 1 mark each.

  • Short Answer Type I questions- 6 questions X 2 marks each

  • Short Answer Type II questions- 6 questions X 3 marks each

  • Long Answer Type questions-  6 questions X 4 marks each


SR NO.

CHAPTER

WEIGHTAGE MARKS

1

COMPARING QUANTITIES

10

2

RATIONAL NUMBER

5

3

PERIMETER & AREA

10

4

ALGEBRAIC EXPRESSION

9

5

EXPONENTS AND POWERS

10

6

THE TRIANGLE AND PROPERTIES


7

CONGRUENCE OF TRIANGLES

26

8

PRACTICAL GEOMETRY



TOTAL

70


Benefits of Class 7 Maths Rs Aggarwal Solutions Chapter 15 PDF

The Solutions of RS Aggarwal Class 7 Maths Ch 15 by Vedantu are prepared to provide an in-depth understanding of the concepts of the examination. The chapter has practical applications and is also studied in further detail in the higher classes. Practice problems given in RS Aggarwal Class 7 Exercise 15 will allow you to measure your growth and highlight your weaker topics. 


Download Solutions of Properties of Triangles Class 7 RS Aggarwal to aid in your preparations.  The benefits of RS Aggarwal Solutions Class 7 Maths Chapter 15 PDF are:

  • The solutions are written as per the CBSE guidelines that will help you in scoring well in the examinations.

  • The answers are prepared by subject experts of Mathematics at Vedantu.

  • The solutions are written in a simple manner to allow maximum retention of information. 

  • Practicing different types of questions will help you in answering complex problems in your examinations.  

FAQs on RS Aggarwal Class 7 Solutions Chapter-15 Properties of Triangles

1. What are the Concepts that are Extensively Covered in the RS Aggarwal Class 7 Exercise 15?

The chapter The Triangle and its Properties introduce the properties of the triangle to the students of Class 7. Students learn about the terms such as medians and altitudes of a triangle. The properties of triangle studied are-

  • Exterior angle property of a triangle.

  • Angle sum property of a triangle.

  • Properties of an equilateral and isosceles triangle.

  • Properties of Right-angled triangle.

  • Pythagoras theorem. 

Students can practice problems based upon these concepts from RS Aggarwal Class 7 Maths Chapter 15. It includes direct questions where you will be asked to find the missing values when some are given. It also includes word problems where you will have to draw diagrams and change the problem into a mathematical equation.

2. What are the Types of Questions Asked from the Chapter in the Examination?

Questions are based upon the properties of the triangle. Students will have to find some missing information based upon the values given. The questions can be based upon the exterior angle property or the angle sum property or a combination of both. Questions will be asked upon the properties of the median and altitudes of the triangle. Specific problems can be asked on special triangles such as the equilateral triangle or isosceles triangle. Questions based upon the Pythagoras theorem are commonly asked in the examination. Students will be asked to find the length of the sides of the triangle using the properties of the right-angled triangle. 

3. What are the Key advantages of the RS Aggarwal Solutions Class 7 Maths Ch 15 by  Vedantu?

Referring to RS Aggarwal Solution of class 7 Maths can provide many advantages to the students, it can provide the student with an edge over the other students. All the questions in chapter 15 of class 7 are solved by a Maths expert present at Vedantu with an intent to help the students easily prepare for their exams. For convenience sake, Vedantu lets the students download a PDF file of these solutions, free of any charges. Hence, students can access them anytime they want.

4. What is a triangle and explain its types following the concepts explained in RS Aggarwal class 7 chapter 15?

Triangle is a closed figure with three angles, which can be otherwise written as a closed figure having three sides. Triangle can be classified via 2 major ways, one on the basis of angle and other on the measurement of sides.


On the basis on angle:

  • Acute Angled triangle

  • Oblique Angled triangle

  • Right Angled triangle

On the basis of the measurement of sides:

  • Scalene triangle

  • Isosceles triangle

  • Equilateral triangle


5. Following the concepts explained in RS Aggarwal class 7 chapter 15, what are the properties of a triangle?

Here are some of the properties of triangles provided in chapter 15 of RS Aggarwal of class 7 -

  • All triangles have no more or less than three angles, three sides and three vertices.

  • Sum of all the interior angles in a triangle is equal to 180 degrees. It is named as the Angle sum property of a triangle.

  • The side opposite the largest angle is going to be the largest side of that triangle.

  • Exterior angle property of a triangle, any angle of a triangle is equal to the sum of the opposite interior angles.