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RD Sharma Class 7 Solutions Chapter 15 - Properties of Triangles Exercise 15.2

Last updated date: 28th May 2024
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RD Sharma Class 7 Solutions Chapter 15 - Properties of Triangles Exercise 15.2 - Free PDF

Free PDF download of RD Sharma Class 7 Solutions Chapter 15 - Properties of Triangles and of Exercise 15.2 solved by Expert Mathematics Teachers on which is an important topic for students to cover and prepare for exams.

In Mathematics, the study of various enclosed figures like rectangles, squares, circles etc. and finding their area, the perimeter is an important topic to cover. This Chapter includes the study of Triangles and their shapes and properties. We often see Triangles almost every day in our life in different forms. For example, certain traffic signal boards on the road, tents, a slice of pastry, samosa, and the parantha you eat every morning in the breakfast are all forms of Triangle. In geography, it is said that by seeing the map of our country Bharat we can conclude that it is loosely the shape of a Triangle. Therefore, it becomes important to understand what exactly a triangle is.

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Triangle and Its Properties.

  • In mathematical terms, Triangle is a three-sided enclosed figure(called polygon) with three angles and three vertices respectively. The three sides, three angles and three vertices are also termed as a Property of a Triangle.

  • Properties of Triangle

  1.  Angle sum Property of a Triangle

The sum total of all the three angles in a triangle will always be equal to 180 degrees. This property is termed as the Angle sum Property of a Triangle.

  1. Exterior angle Property of a Triangle

Any Exterior Angle of the Triangle will always be equal to the sum total of its opposite interior angles. This Property is termed as the Exterior angle Property of a Triangle.

  1. Similarly, the side which is opposite to that of the largest angle of the Triangle will always be the Largest Side of that Triangle.

  2. Lastly, the Subtotal of the Length of any of the two sides of any triangle will always be greater than the length of the third side.

Revision Tips for Students to Score High in the Chapter Properties of Triangles 

  • First of all, students should understand all the basic concepts of the chapter Properties of Triangles in detail and learn them by heart.

  • Here we provide All Chapter 15 - Properties of Triangles Ex 15.2 Questions with Solutions for RD Sharma Class 7 Mathematics to help you to revise the complete Syllabus and Score More marks. 

  • Students can also prepare and practice from Solved CBSE Sample Papers and NCERT Solutions of class 7 all available at Vedantu for free.

FAQs on RD Sharma Class 7 Solutions Chapter 15 - Properties of Triangles Exercise 15.2

1. How long will it take for students to solve Exercise 15.2 of chapter 15 Properties of Triangles?

Exercise 15.2 has 27 questions about finding angles from different triangles. This will take approximately 1 hour for students of class 7 to solve the full exercise. 

2. Why learn the Mathematics Chapter Properties of Triangles and its Exercise 15.2 from Vedantu?

Vedantu ensures to provide step-by-step solutions with adequate instructions for students to understand the concept with clarity. Not only do we provide free pdf solutions of mathematics by expert teachers, but we also give attention to the relevance and precision of each step while giving the solutions for students to score higher than ever and making learning easy. Vedantu guides notes for revision, important topics, and previous year's question papers for a hundred per cent foolproof preparation of math exams.

3. Does the chapter Properties of Triangles and Lines and Angles have something common in them?

In a way, we can say that the chapter Lines and Angles is a warm-up for Properties of Triangles as the former helps students to get an idea loosely based on theoretical concepts and understanding of the latter. Both chapters include concepts like linear pairs, finding angles, and types of triangles based on the sum of all angles. Thus, for preparation, these two chapters can be practised together for a better understanding.

4. Is it important to practice R.D. Sharma's reference while preparing for the chapter Properties of Triangle?

RD Sharma provides a 360-degree overview of the chapter Properties of Triangle and helps develop overall mastery in all possible questions that can be made from this chapter. Thus, for students who wish to score high marks even with the toughest question paper possible, RD Sharma is a blessing in disguise.

5. What is the relevance of writing the mathematical symbols given and used in the chapter Properties of the triangle?

The symbols used in the chapter Properties of Triangles and its exercises such as angles, degrees, triangles are to be compulsorily used wherever required as the absence of writing relevant symbols can cut your marks in exams.