NCERT Solutions for Class 9 Maths Chapter 7: Triangles

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The NCERT Solutions for class 9 Maths Chapter 7 Triangles are included in the article below. A triangle is a closed shape with three angles, three sides, and three vertices. It has two basic formulas that help us to determine its area and perimeter.

Class 9 Maths Chapter 7 Triangles belong to Unit 4 Geometry which has a weightage of 27 marks in the Class 9 Maths Examination. Class 9 Maths Chapter 7 has the following important concepts:

Download: NCERT Solutions for Class 9 Mathematics Chapter 7 pdf

NCERT Solutions for Class 9 Mathematics Chapter 7

The Chapter 7 Class 9 Maths are given below:

Important Topics in Class 9 Maths Chapter 7 Triangles

Important Topics in Class 9 Maths Chapter 7 Triangles are elaborated below:

Area of Triangles

The area of a triangle is the space confined within the three sides of a triangle. For calculating its area, the base length and the height of the triangle are required.

Example: What is the formula to determine the area of a triangle?

Solution: The formula to determine the Area of a Triangle is:
Area of triangle = ½ (base x height) = ½ b x h

Perimeter of Triangles

The perimeter of a respective triangle can be defined as the sum of three sides of the triangle. For example, if a triangle has sides ABC, then the perimeter of it would be (AB + BC + AC).

Perimeter of Scalene Triangle: A + B + C
Perimeter of Iosceles Triangle: 2A + B
Perimeter of Equilateral Triangle: 3A

Congruency of Triangles

If two triangles have the same shape and size, then they are found congruent to one another.

Example: List all the followed criteria for congruency in a triangle.

Solution: The criteria of conguency in Triangles are:

SSS (side-side-side) congruency
SAS (side-angle-side) congruency
ASA (angle-side-angle) congruency
AAS (angle-angle-side) congruency
RHS (right angle-hypotenuse-side) congruency

NCERT Solutions for Class 9 Maths Chapter 7 Exercises:

The detailed solutions for all the NCERT Solutions for Triangles under different exercises are:

Also Read:

Unit Related Topics
Triangle Theorems	Pythagoras Theorem	Questions on Triangles
Mid Point Theorem	Isosceles Triangle	Class 9 Maths Chapter 7 Triangles MCQs
Sides of a Triangle	Similar Figures	Properties of Triangles

Check out:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Algebra
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Math Formula	NCERT Solutions for Class 9 Maths	Geometry

CBSE X Related Questions

1.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.
View Solution
2.
If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are
- 12 and 13
- 13 and 12
- 10 and 15
- 15 and 10
View Solution
3.
Solve the following pair of linear equations by graphical method : $2x + y = 9$ and $x - 2y = 2$.
View Solution
4.
Three coins are tossed together. The probability that at least one head comes up is
- $\dfrac{3}{8}$
- $\dfrac{7}{8}$
- $\dfrac{1}{8}$
- $\dfrac{3}{4}$
View Solution
5.
There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.
View Solution
6.
Find length and breadth of a rectangular park whose perimeter is $100 \, \text{m}$ and area is $600 \, \text{m}^2$.
View Solution

View All

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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

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You can also check

NCERT Solutions for Class 9 Maths Chapter 7: Triangles

NCERT Solutions for Class 9 Mathematics Chapter 7

Important Topics in Class 9 Maths Chapter 7 Triangles

Area of Triangles

Perimeter of Triangles

Congruency of Triangles

NCERT Solutions for Class 9 Maths Chapter 7 Exercises:

CBSE X Related Questions

1.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

2.
If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are

3.
Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).

4.
Three coins are tossed together. The probability that at least one head comes up is

6.
Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

Similar Mathematics Concepts

Comments

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NCERT Solutions for Class 9 Maths Chapter 7: Triangles

NCERT Solutions for Class 9 Mathematics Chapter 7

Important Topics in Class 9 Maths Chapter 7 Triangles

Area of Triangles

Perimeter of Triangles

Congruency of Triangles

NCERT Solutions for Class 9 Maths Chapter 7 Exercises:

CBSE X Related Questions

1.In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

2.If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are

3.Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).

4.Three coins are tossed together. The probability that at least one head comes up is

6.Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

2.
If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are

3.
Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).

4.
Three coins are tossed together. The probability that at least one head comes up is

6.
Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).