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RD Sharma Class 9 Solutions Chapter 15 - Areas of Parallelograms and Triangles (Ex 15.1) Exercise 15.1

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Last updated date: 04th Mar 2024
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Free PDF download of RD Sharma Class 9 Solutions Chapter 15 - Areas of Parallelograms and Triangles Exercise 15.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 15 - Areas of Parallelograms and Triangles Ex15.1 Questions with Solutions for RD Sharma Class 9 Maths to help you revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams. Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 9 Science, Maths solutions and solutions of other subjects.


In the RD Sharma Book, Areas of Parallelograms and Triangles comes as the 15th chapter. Students will learn about Parallelograms and Triangles, and how to find out their areas. 

Competitive Exams after 12th Science

About the Chapter

We know that a plane figure bounded by four sides is called a quadrilateral. A parallelogram is a quadrilateral, where both the pairs of opposite sides are equal. In a parallelogram, the diagonals bisect each other. 


A triangle is a polygon with three sides. It also has three vertices and three edges. Furthermore, a triangle can be classified into three categories: Equilateral triangle, Isosceles triangle and Scalene triangle. 


A triangle in which all three sides are of the same length is called the Equilateral Triangle. A triangle in which any two sides are of equal length and the third side is unequal is called the Isosceles Triangle. A triangle in which all three sides are of unequal length is called the Scalene Triangle.


In the RD Sharma Book, there are three exercises in this chapter.


Some Important Formulas of the Chapter

Area of an equilateral triangle: √3/4 a2, where a is the side of the equilateral triangle.


Area of an isosceles triangle: ½* b*h, where b and h denote the base and height of the isosceles triangle, respectively. 


Area of a scalene triangle:

Case 1: When the base and the height of the triangle is given. 

The area: ½* b*h (where b and h indicates the base and the corresponding height of the given triangle)


Case 2: When the length of the three sides is given. 

The area: √s(s-a)(s-b)(s-c), where a,b and c are the length of the sides of the scalene triangle, and s is the semi perimeter of the triangle.

s= (a+b+c)/2


In This Chapter, Students Will Learn Some Important Concepts From the RD Sharma Book:

  1. Introduction on the areas of parallelograms and triangles

  2. Different figures, using the same base, heights and parallel sides. 

  3. Geometric figures.

  4. Axioms and theorems on the area.


Key Benefits of Studying the RD Sharma Book:

  1. RD Sharma is a self-sufficient book. It contains all the concepts explained, short notes and lots of solved and unsolved questions. This helps the students to obtain mental strength and confidence to solve complex problems.

  2. The solved questions help students to have a thorough grasp of the Mathematical concepts. It also helps students in memorising and retrieving them quickly. 

  3. Every question is solved and explained in a step by step, detailed method so that students do not face any difficulty while solving the problems. 

  4. The answer keys boost the students’ confidence to grasp the method of solving effortlessly.

  5. This book is the best study resource to gain excellence in the subject and get good marks in the examinations.

FAQs on RD Sharma Class 9 Solutions Chapter 15 - Areas of Parallelograms and Triangles (Ex 15.1) Exercise 15.1

1. Why is RD Sharma Class 9 Chapter 15 an important part of the board exam?

The RD Sharma Class 9 Chapter 15 Areas of Parallelograms and Triangles is an important part of examinations, as it contains very important and essential concepts which are necessary for the board exam, and real-life as well. This chapter also consists of some important questions which are essential for board exams. Furthermore, the concepts in Chapter 15, Areas of Parallelograms and Triangles have been explained elaborately and in clear language, so that students do not face any problems.

2. Is it necessary to practice all the questions given in RD Sharma Class 9 Chapter 15?

Practising all the questions given in the RD Sharma Book is very important, as it will help students to boost skills that are necessary for scoring high marks in exams. The questions given are in very simple language so that students can solve them without any problem and can understand the concepts in depth. The subject experts have explained all the concepts and designed the solutions in a very simple and elaborate manner, so the students can understand it all thoroughly.

3. How does RD Sharma Class 9 Solutions Chapter 15 - Areas of Parallelograms and Triangles help in boosting up the students?

RD Sharma Class 9 Solutions Chapter 15 - Areas of Parallelograms and Triangles are designed in such a way that the students understand it without any external help. The solutions, prepared by subject experts, are designed in a very crisp language such that it clears the doubt of the student, and they gain knowledge too. Students can fetch good marks in exams and procure knowledge if they practice these solutions as much as they can.

4. Where can I find all the useful resources for studying this chapter?

Vedantu has everything that you need for studying this chapter. All the useful resources that you get on the Vedantu app or website have been created by subject experts, so students need not worry about its accuracy or reliability. Students can find study notes, important questions and solutions and a whole lot more! All of this is free of cost. Students can visit the Vedantu app or website and just download it. This will help them a lot in their examinations.

5. Is Class 9 Maths tough?

No, not at all. The key to acing the Maths syllabus is by practising a whole lot. Solving all the chapter exercises will improve my time management and problem-solving skills. Making notes of important formulas and equations will help the student with revision. Solving sample question papers, mock question papers is also necessary as it will help the student get acquainted with the question paper pattern and type. The student’s time management skills shall also improve. Before the exam, students should revise as much as they can to retain all that they have studied.