NCERT Solutions for Class 10 Maths Chapter 6: Triangles

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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.
Which of the following graphs represents a polynomial with both zeroes being positive?
View Solution
2.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is
- \(4 \text{ cm}\)
- \(4\sqrt{2} \text{ cm}\)
- \(8 \text{ cm}\)
- \(2\sqrt{2} \text{ cm}\)
View Solution
3.
If for a data, median is 5 and mode is 4, then mean is equal to :
- 7
- 11
- \(\frac{11}{2}\)
- \(\frac{14}{3}\)
View Solution
4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
5.
For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is
- \(0\)
- \(\frac{80}{81}\)
- \(1\)
- \(\frac{82}{80}\)
View Solution
6.
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?
- \(\frac{\text{Perimeter of } \triangle ABC}{\text{Perimeter of } \triangle EDF} = \frac{AB}{ED}\)
- \(\frac{AB}{ED} = \frac{AC}{EF}\)
- \(\angle A = \angle D, \angle C = \angle F\)
- \(\frac{AB + BC}{AC} = \frac{ED + DF}{EF}\)
View Solution

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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.
Which of the following graphs represents a polynomial with both zeroes being positive?

2.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

3.
If for a data, median is 5 and mode is 4, then mean is equal to :

4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.
For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

6.
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

Similar Mathematics Concepts

Comments

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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.Which of the following graphs represents a polynomial with both zeroes being positive?

2.If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

3.If for a data, median is 5 and mode is 4, then mean is equal to :

4.Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number. Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

6.It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Which of the following graphs represents a polynomial with both zeroes being positive?

2.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

3.
If for a data, median is 5 and mode is 4, then mean is equal to :

4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.
For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

6.
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?