NCERT Solutions for Class 10 Maths Chapter 6: Triangles

Content Curator

The NCERT Solutions for class 10 maths chapter 6 Triangles are provided in the article below. A triangle is a polygon having three sides and three angles. Based on whether they have equal sides or not, triangles can be categorised as equilateral, isosceles and scalene triangles.

Chapter 6 Triangles is included in the class 10 syllabus 2022-23 under the Unit Geometry. This unit carries a weightage of 15 Marks in class 10 mathematics board exam. Chapter 10 Circles is also a part of this unit. The important topics from this chapter includes similarity of triangles, congruence of triangles and pythagoras theorem.

NCERT Solutions for Class 10 Maths Chapter 6

Class 10 Maths Chapter 6 Triangles: Important Topics

Some important concepts of chapter 6 Triangles are given below:

Similarity of Triangles – Two triangles are said to be similar if their corresponding angles are equal and their corresponding sides are in the same ratio. Triangles with equal corresponding angles are called equiangular triangles.

Basic Proportionality Theorem states that the ratio of any two corresponding sides in two equiangular triangles is always the same.

Congruence of Triangles – Two triangles are said to be congruent if all their corresponding sides and angles are equal in measure.

Congruent triangles always satisfy any of the given conditions:

SSS (Side-Side-Side) Rule, SAS (Side-Angle-Side) Rule, ASA (Angle-Side-Angle) Rule, AAS (Angle-Angle-Side Rule), RHS (Right angle-Hypotenuse-Side) Rule.

Pythagoras Theorem – It states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of other two sides.

Pythagoras theorem can be represented as (H)² = (P)² + (B)², where H is Hypotenuse, P is perpendicular and B is Base.

NCERT Solutions for Class 10 Maths Chapter 6 Exercises:

The NCERT solutions of all the exercises of class 10 maths chapter 6 Triangles are given below:

Read Also:

Triangles Important Questions	Triangles Revision Notes	MCQ on Triangles
Tangent to a Circle	Circles MCQ	Cyclic Quadrilateral
Circles Revision Notes	Semicircles	Important Questions on Circles

Study Materials for Class 10 Maths:

Algebra	Mensuration Formula	Geometry
Number System	Math Study Material	Important Formulas in Maths

CBSE X Related Questions

1.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.
View Solution
2.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$
View Solution
3.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
View Solution
4.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is
- $1$
- $-5$
- $25$
- $\sqrt{5}$
View Solution
5.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.
View Solution
6.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.
View Solution

View All

Similar Mathematics Concepts

Area of a Triangle: Formula, Types & Examples

Triangles Revision Notes

Triangles Important Questions: Important Similarity Concepts

Congruence Of Triangles: Conditions (SSS, SAS, ASA, RHS)

Isosceles Triangle Theorems: Proof and Sample Questions

Triangle Theorems: Properties, Types & Similarity Theorems

NCERT Solutions for Class 9 Maths Chapter 7: Triangles

Triangles: Types, Properties, Heron’s Formula and Examples

MCQ on Triangles

CBSE X Syllabus

Mathematics Preparation Guides

Arithmetic Progressions: Properties, Formulas and Solved Examples

Distance Formula and Derivation of Coordinate Geometry

Probability- A Theoretical Approach: An Overview and Examples

Area of Circle: Area Formula, Derivation with Solved Examples

Mode of Grouped Data

Pythagoras Theorem: Formula, Theorem, Proof and Examples

Nature of Roots of Quadratic Equation

Probability: Concepts, Problems and Solved Examples

Trigonometry: Ratios, Identities & Trigonometric Table

Heights and Distances: Applications in Trigonometry

Real Numbers: Euclid’s Division Lemma, Properties & Sets

Surface Areas and Volumes Revision Notes

Circles: Definition, Properties, Parts, Theorems

Constructions Revision Notes

Pair of Linear Equations In Two Variables Important Questions

Circles Revision Notes: Theorems of Tangent to the Circle

Statistics Important Questions

Mathematics NCERT Solutions

Euclid's Division Lemma: Proof, Finding HCF & Examples

Area of a Sector: Definition, Formulae and Solved Examples

Real Numbers: Definition, Properties and Examples

Events in Probability: Definition, Types, Examples

Relation Between HCF and LCM: Definition, Methods and Formulas

Geometric Probability: Formula, Illustration, Model

Algebra Formula: Important Formulas in Algebra & Solved Examples

Angle of Depression: Definition, Formula and Solved Examples

Cyclic Quadrilateral: Properties, Theorems and Formulas

Polynomial Notation: Types, Remainder Theorem, Linear and Quadratic Equation

You can also check

NCERT Solutions for Class 10 Maths Chapter 6: Triangles

NCERT Solutions for Class 10 Maths Chapter 6

Class 10 Maths Chapter 6 Triangles: Important Topics

NCERT Solutions for Class 10 Maths Chapter 6 Exercises:

CBSE X Related Questions

1.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.

2.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

3.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

4.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

5.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

6.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

NCERT Solutions for Class 10 Maths Chapter 6: Triangles

NCERT Solutions for Class 10 Maths Chapter 6

Class 10 Maths Chapter 6 Triangles: Important Topics

NCERT Solutions for Class 10 Maths Chapter 6 Exercises:

CBSE X Related Questions

1.PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.

2.Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

3.Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

4.The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

5.Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

6.A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.

2.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

3.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

4.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

5.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

6.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.