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RD Sharma Class 9 Math Triangle and its Angles Solutions - Free PDF Download

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Last updated date: 25th Apr 2024
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Class 9 Triangles RD Sharma Free PDF Download

Free PDF download of RD Sharma Solutions for Class 9 Math Chapter 9 - Triangle and its Angles solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 9 - Triangle and its Angles Exercise Questions with Solutions to help you to revise the complete Syllabus and Score More marks. Register for online coaching for JEE (Mains & Advanced), NEET, Engineering and Medical entrance exams. Register Online for Class 9 Science tuition on Vedantu.com to score more marks in your examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Math Students who are looking for better solutions can download Class 9 Math NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

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Competitive Exams after 12th Science

Class 9 RD Sharma Textbook Solutions Chapter 9 - Triangle and its Angles

Question 1:  If ∠A = 550, ∠B = 400, find ∠C in a ΔABC,

Solution:

∠A = 550, ∠B = 400


We know that, sum of all angles of a triangle is 1800


∠A + ∠B + ∠C = 1800


550 + 400 + ∠C=1800


950 + ∠C = 1800


∠C = 1800 − 950


∠C = 850 



Question 2: Determine three angles if the angles of a triangle are in the ratio 1:2:3

Solution:

Angles of a triangle are in the ratio 1:2:3


Let the angles be x, 2x, 3x


Sum of all angles of triangles = 1800


x + 2x + 3x = 1800


6x = 1800


x = 1800/6


x = 300


Solution:

x = 300


2x = 2(30)0 = 600


3x = 3(30) 0 = 900 


Question 3:  Find the value of x. The angles of a triangle are (x − 40)0, (x − 20) 0 , and (1/2 x − 10) 0.

Solution:

The angles of a triangle are (x − 40)0, (x − 20) 0 and (1/2 x − 10) 0


Sum of all angles of triangle = 1800


(x − 40)0 + (x − 20) 0 + (1/2 x − 10) 0 = 1800


5/2 x – 700 = 1800


5/2 x = 1800 + 700


5x = 2(250) 0


x = 5000/5


x = 1000 


Question 4: The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 100, find the three angles.

Solution:

The difference between two consecutive angles is 100 (given)


Let x, x + 100, x + 200 be the consecutive angles


x + x + 100 + x + 200 = 1800


3x + 300 = 1800


3x = 1800– 300


3x = 1500


or x = 500


Again,

x + 100 = 500 + 100 = 600


x+200 = 500 + 200 = 700


Ans: Three angles are 500,600 and 700.


Question 5: Two angles of a triangle are equal and the third angle is greater than each of those angles by 300. Determine all the angles of the triangle.

Solution:

Two angles of a triangle are equal and the third angle is greater than each of those angles by 300.(Given).


Let x, x, x + 300 be the angles of a triangle.


Sum of all angles in a triangle = 1800


x + x + x + 300 = 1800


3x + 300 = 1800


3x = 1500


or x = 500


And x + 300 = 500 + 300 = 800


Ans: Three angles are 500, 500 and 800.

FAQs on RD Sharma Class 9 Math Triangle and its Angles Solutions - Free PDF Download

1. Why are RD Sharma Solutions for Class 9 Math Chapter 9 important for getting good scores in board exams?

RD Sharma Solutions is the best source for understanding complex concepts. Students who follow these solutions carefully clear their doubts more quickly and develop problem-solving skills. RD Sharma Solutions for Class Mathematics Solutions 9 Chapter 9 are well organized by Vedantu’s expert's step by step. This allows students to develop confidence in solving any type of problem easily and to get good marks on tests. One can easily refer to major topics and chapters in the subject by referring to RD Sharma solutions. These solutions have been carefully written and carefully crafted by the best teachers in the country.

2. Give a brief overview of the concepts available in RD Sharma Solutions for Class 9 Math Chapter 9.

Three angles are formed on three sides of a triangle and the sum of all the inner angles of the triangle is 180 degrees. Triangles are classified based on their angles: Acute Triangle, Right Angle, and Obtuse Triangle. To better understand the concepts, students can download the PDF solutions whenever needed. RD Sharma Solutions is an excellent asset for students who wish to master Mathematics. RD Sharma Solutions are designed based on the latest CBSE syllabus according to the student intelligence quotient.


The concepts discussed in RD Sharma Solutions for Class 9 Math Chapter 9 are given below:

  • Types of triangles.

  • Triangle Introduction.

  • Some theories are important for the triangle.

3. Why Choose Vedantu Download RD Sharma Class 9 Textbook Solutions Chapter 9 - The triangle and its angles?

The RD Sharma Class 9 solutions are provided here so that students can clear up all their doubts about the triangle and the problems based on this topic. The solutions are so effective that students who regularly practice it undoubtedly receive high marks in the subjects. Class 9 RD Sharma Solutions Chapter 9 - Triangles and angles available, including three exercises and all questions resolved by Vedantu Mathematicians. In this chapter, students will learn the number of a plane made up of three inconsistent plane lines, called a triangle. A triangle is a 2D geometric figure that combines three edges with three twists. Solutions are based on new and different ideas in the criteria of updates in the mathematical syllabus. The content in the book has information and the best solutions for the chapters mentioned in the RD Sharma books.

4. What are the different criteria for the congruence of triangles?

The following are the Criteria for the coherence of the triangle.


SSS Congruence Criteria - If the three sides of one triangle are equal to the three sides of another triangle, then these two triangles are parallel. If all the sides are the same, then the corresponding angles should also be the same.

  • SAS Congruence Criteria - Axiom: Two triangles are aligned when two sides and the inserted angle of the one triangle is equal to the corresponding sides and the inserted angle of the other triangle.

  • ASA Congruence Criteria - Two triangles are aligned when two angles and the inserted side of one triangle is equal to two parallel angles and the combined side of the other triangle.

  • AAS Criteria of Congruence - Two triangles are said to be compatible when the two angles and one side of one triangle are equal to two angles and one side of the other triangle.

  • RHS Congruence Criteria - If the two right triangles of the hypotenuse and one side of one triangle are always equal to the hypotenuse and one side of the other triangle, it means that the two triangles are parallel. RHS stands for right angle - Hypotenuse - Side.

5. On what basis and how can triangles be classified?

Based on the angle, the triangles can be divided into 3 types in the chapter Triangles:

  • Right, Angle Triangle 90 ° Angle Triangle. For example, if a right-angled triangle has 2 equal sides, then it is called the Isosceles Right Triangle, and the two basic angles measure 45 ° each.

  • The Obtuse Triangle is a triangle with one of the inner angles measuring over 90 °.

  • A triangle with all angles less than 90 ° is called the Acute-Angled Triangle.