NCERT Solutions for Class 10 Maths of Chapter 6 Triangles - Future Study Point

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

class 10 ncert solutions triangles

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles are created here for helping class 10 students in their CBSE Board exams. NCERT Solutions for Class 10 Maths of Chapter 6 Triangles are prepared by Future Study Point for helping class 10 students in their exams.NCERT Solutions for Class 10 Maths of Chapter 6- Triangles are available here in the form of a pdf of all NCERT solutions of all the exercises from exercise 6.1 to exercise 6.6. NCERT solutions for class 10 maths will ensure your study when you are offline.  Chapter 6- Triangles is the fundamental chapter of geometry, chapter 6 – Triangles of class 10 maths NCERT is based on the properties of triangles like the basic proportionality theorem, the similarity of triangles, and Pythagoras theorem. All questions of Class 10 Maths NCERT solutions of Chapter 6 Triangles are solved by an expert Maths teacher as per the CBSE norms.

You can download the PDF-NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

PDF-NCERT solutions of class 10 Maths Chapter 6-Triangles

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

 

class 10 ncert solutions triangles

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

NCERT Solutions Class 10 Maths Chapter 6, Triangle of Class 10 Maths NCERT solutions of Chapter 6 Triangles part of Geometry which constitutes 15 marks of the total marks of 80.  NCERT solutions of Chapter 6 Triangles Based on the CBSE Class 10 examination prospectus, this chapter 6 has the second-most elevated weightage. Consequently, having a clear understanding of the ideas, theorems, and problem-solving techniques, in this section it is compulsory to score well in the Board assessment of class 10 maths.

From your previous classes, you know about triangles and a considerable lot of their properties. In Class 9, you studied the congruency of the triangles in detail. In this part, we will consider those triangles which have a similar shape but not really a similar size. Two triangles having a similar shape (and not really a similar size) are called similar triangles. In chapter 6 of class 10 maths, we will study the similarity of triangles and the application of this property in giving a basic verification of the Pythagoras Theorem learned before.

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

In Class 9, you have seen that all circles with similar radii are congruent, all squares with a similar side length are congruent and all equilateral triangles with a similar side length are congruent. The chapter clarifies the similarity of triangles by playing out the applicable action. Similar triangles are two triangles having a similar shape yet not really a similar size.

The topic recalls triangles and their similarities. Two triangles are similar if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion). It explains Basic Proportionality Theorem and different theorems are discussed in performing various activities.

Basic Proportionality Theorem- If a line is drawn parallel to one of the sides of a triangle such that it intersects two sides then it divides the other two sides of the triangle in the same ratio.

BPT theorem

 

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

In the previous section, we stated that two triangles are similar (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion). The topic discusses the criteria for the similarity of triangles referring to the topics we have studied in earlier classes. It also contains different theorems explained with proper examples.

AAA rule-If in two triangles three corresponding angles are the same,then both of triangles are similar to each other

AA rule – If in two triangles two corresponding angles are the same,then both of triangles are similar to each other.

SAS rule – If in two triangles two corresponding sides are in proportion and the angles subtended by them are also equal then triangles are similar to each other.

SSS rule- If all corresponding sides of two triangles in proportion then both of the triangles are similar to each other.

If in two triangles ΔABC and ΔDEF

AB/DE =BC/EF =AC/DF

then ABC ∼DEF

 

SAS criteria of similar triagles

∠B = ∠E

ΔABC ∼ ΔDEF (SAS rule)

SSS rule- If all corresponding sides of two triangles in proportion then both of the triangles are similar to each other.

AB/DE =BC/EF =AC/DF

ΔABC ∼ ΔDEF (SSS rule)

 See the video-Solutions for class 10 maths exercise 6.1 Triangle

NCERT Solutions for Class 10 Maths of Chapter 6 Triangles

You have learned that in two similar triangles, the ratio of their corresponding sides is the same. The topic Areas of Similar Triangles consists of a theorem and relatable examples to prove the theorem.

The ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides.

 Class 10 Maths NCERT Solutions Chapter 6- Triangles

You are already familiar with the Pythagoras Theorem from your earlier classes. You have also seen proof of this theorem in Class 9. Now, we shall prove this theorem using the concept of the similarity of triangles. Hence, the theorem is verified through some activities and made use of it while solving certain problems.

Hypotenuse² = Perpendicular² + Base²

See the video-Class 10 Maths NCERT Solurions Exercise 6.2 chapter 6 Triangles

Download the PDF of class 10 NCERT solutions PDF of chapter 6- Triangles

PDF-Class 10 maths NCERT solutions chapter 6-Triangles

NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number SystemChapter 9-Areas of parallelogram and triangles
Chapter 2-PolynomialChapter 10-Circles
Chapter 3- Coordinate GeometryChapter 11-Construction
Chapter 4- Linear equations in two variablesChapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s GeometryChapter 13-Surface Areas and Volumes
Chapter 6-Lines and AnglesChapter 14-Statistics
Chapter 7-TrianglesChapter 15-Probability
Chapter 8- Quadrilateral

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Chapter 1-Matter in our surroundingsChapter 9- Force and laws of motion
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Chapter3- Atoms and MoleculesChapter 11- Work and Energy
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Chapter 5-Fundamental unit of lifeChapter 13-Why do we fall ill ?
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Chapter 2-PolynomialChapter 10-Circles
Chapter 3-Linear equationsChapter 11- Construction
Chapter 4- Quadratic equationsChapter 12-Area related to circle
Chapter 5-Arithmetic ProgressionChapter 13-Surface areas and Volume
Chapter 6-TriangleChapter 14-Statistics
Chapter 7- Co-ordinate geometryChapter 15-Probability
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Chapter 1- Chemical reactions and equationsChapter 9- Heredity and Evolution
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Chapter 7-Control and CoordinationChapter 15-Environment
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Chapter 1-SetsChapter 9-Sequences and Series
Chapter 2- Relations and functionsChapter 10- Straight Lines
Chapter 3- TrigonometryChapter 11-Conic Sections
Chapter 4-Principle of mathematical inductionChapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbersChapter 13- Limits and Derivatives
Chapter 6- Linear InequalitiesChapter 14-Mathematical Reasoning
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Chapter 1-Relations and FunctionsChapter 9-Differential Equations
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