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# RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5

Last updated date: 29th May 2024
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## RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5 - Free PDF

Free PDF download of RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles Exercise 10.5 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 10 - Congruent Triangles Ex 10.5 Questions with Solutions for RD Sharma Class 9 Maths to help you to revise 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.

Here are the answers to RD Sharma's class 9 Mathematics chapter 10 exercise 10.5 Congruent Triangles. Students will learn about the congruence criterion of right triangles, mostly through the usage of RHS (Right angle-Hypotenuse-Side) and associated concepts, in an engaging and participatory manner. With RD Sharma Solutions for Class 9 and step-by-step illustrations, this material can now be readily mastered with Vedantu.

The RHS (Right angle-Hypotenuse-Side) and ideas linked to it will be learned in an engaging and participatory way by RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions. Two triangles are congruent if their hypotenuse and one side are successively equal to the hypotenuse and one side of another triangle, according to the rules. With the help of RD Sharma Solutions, you may achieve your goals. With the RD Sharma book for Class 9 provided by Vedantu, this topic can be studied.

Furthermore, we have provided the RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions PDF, which contains a variety of questions focused on the RHS (Right angle-Hypotenuse-Side). Students will learn about many types of problems and how to solve them in a simple manner by reading the PDF. It is meticulously produced by our topic experts, with step-by-step explanations and exams to keep the Class 9 level in mind.

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## RD Sharma's Class 9 Congruent Triangles Exercise 10.5 Solutions

Example: D is the midpoint of BC and ABC is a triangle. From D to AB and AC, the perpendiculars are equal. Demonstrate the isosceles nature of the triangle.

Solutions: Given: D is the midpoint of BC and PD = DQ in a triangle ABC.

To Prove: ABC is an isosceles triangle.

In △BDP and △CDQ

PD = QD (Given)

BD = DC (D is mid-point)

∠BPD = ∠CQD = 90o

By RHS Criterion: △BDP ≅ △CDQ

BP = CQ … (i) (By CPCT)

In △APD and △AQD

PD = QD (given)

APD = AQD = 90o

By RHS Criterion: △APD ≅ △AQD

So, PA = QA … (ii) (By CPCT)

BP + PA = CQ + QA

AB = AC

Two sides of the triangle are equal, so ABC is an isosceles.

### Congruent Triangles Exercise 10.5 Solutions by RD Sharma are Available in PDF Format

Students can use these solutions to overcome their fear of math, and they've been developed in such a way that they can learn simple approaches to tackle a variety of issues. Students can use these solutions to improve their math fluency and problem-solving abilities. Students can benefit from looking over the RD Sharma solutions for class 9 chapter 10 Congruent Triangles Exercise 10.5 via the PDF.

## FAQs on RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5

1. Is the RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5 - Free PDF helpful?

The RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5 - Free PDF by Vedantu offers solutions to Congruent Triangles. The book can guide and make you learn the most complicated problems of Mathematics. Easy learning and a readable format can help you score well in examinations. Vedantu provides the PDF of RD Sharma in an easy and readable manner. The solutions are accurate and help students to cope with the entrance and board examinations.

2. Is class 9 important?

Class 9 is considered as the base form for students to prepare for 10th board examinations. One should clear their concepts thoroughly with the help of RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5 - Free PDF to score well and build a stronger base. The book offers all the syllabus with easy to read format. Download the free PDF from Vedantu now. You can build the class 9’s base with the help of Vedantu. Prepare for your board examinations and get the best out of the learning.

3. Can the RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5 - Free PDF help me prepare for entrances?

Yes, the RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5 - Free PDF can help you get prepared for entrance examinations. If you study the whole book of RD Sharma of class 9th, you will be able to understand the concepts clearly. This will help you build a stronger base of class 10th and make your mathematics strong. The syllabus book along with the guidebooks can help students to achieve good marks in the entrances like NEET and JEE. Practice with Vedantu to build a stronger base.

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5. What are congruent triangles according to RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles?

The congruent triangles have the same shape and sizes. The sides of the triangle are equal to the corresponding angles. This is well explained in the RD Sharma Class 9 Solutions Chapter 10 - Congruent Triangles (Ex 10.5) Exercise 10.5 - Free PDF. You can learn better with Vedantu. The team of experts can help you solve the problem solutions of congruent triangles. You will get more clear concepts with the help of Vedantu. Our teachers will help you at every step of your life.