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CBSE Class 9 Maths Notes Chapter 9 Areas of Parallelograms and Triangles

Here, we have provided CBSE Class 9 Maths Notes Chapter 9. Students can view these CBSE Class 9 Maths Notes Chapter 9 before exams for better understanding of the chapter.
authorImageNeha Tanna20 May, 2024
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CBSE Class 9 Maths Notes Chapter 9

CBSE Class 9 Maths Notes Chapter 9: To give students a concise and straightforward grasp of the material, we have created notes for CBSE Class 9 Maths Notes Chapter 9. Experts in the field have created the Class 9 Chapter 9 Areas of Parallelograms and Triangles Notes PDF by us, tailoring it to meet the requirements of the learners.

The CBSE Class 9 Maths Notes Chapter 9 will assist you in going over the ideas and formulas of the Areas of Triangles and Parallelograms in great detail. An additional advantage is that the CBSE Class 9 Maths Notes Chapter 9 are easily downloadable in PDF format, allowing you to have them on hand and make revisions as needed.

CBSE Class 9 Maths Notes Chapter 9 PDF

Students who want to do well on their final exams will find great value in the CBSE Class 9 Maths Notes Chapter 9. To aid students in comprehending the ideas and dispelling any doubts they may have, we have included comprehensive chapter-by-chapter notes. Chapter 9 Areas of Parallelograms and Triangles notes includes a comprehensive explanation of all the problems that are addressed in the CBSE Books that are attached. The most recent syllabus and exam pattern instructions issued by the CBSE Board are followed in the creation of these notes.

CBSE Class 9 Maths Notes Chapter 9 PDF

CBSE Class 9 Maths Notes Chapter 9

Definition of Triangle

A triangle is a two-dimensional figure made up of three lines and corners.

Properties of a Triangle

  • The polygon with the least sides is a triangle.
  • It is a two-dimensional closed figure made up of three-line segments and corners, and as such, it takes up space that is enclosed by the sides.
Since a triangle is the most basic polygon, one can use the area of finite sets of triangles to define the area of other polygons. As an illustration: Since a hexagon is composed of two triangles, its area is equal to the sum of its two triangles.

Area Proposition

Area of a Closed Shape

The term "planar area" refers to the area of any plane that is surrounded by a closed figure. The "area" of that figure is the measurement of this area. The numerical representation of this is employed by all units.

Properties of the Area of a Figure

The two figures are considered congruent if their sizes and shapes match. Additionally, the two figures' areas would match if they were congruent. The two figures don't need to be congruent if their areas are equal.

Area of Parallelogram

  • Area of parallelogram = base × height

  • Height is perpendicular to the base.

Figures on the Same Base and Between the Same Parallels

It is presumed that the two figures are on the same base and between the same parallels if they have the same base and the vertices opposite the base are also on the line parallel to the base.

Parallelograms on the Same Base and Between the Same Parallels

The area must equal the two parallelograms if they share the same base and are situated between the same parallel lines.

Median of a Triangle

The median is the length of the line that connects each vertex of the triangle to the opposing side's center. The triangle has three medians, and the centroid is the point where these medians intersect. The triangle is divided into two equal parts by the middle.
CBSE Class 9 Maths Syllabus CBSE Class 9 Science Syllabus
CBSE Class 9 Computer Application Syllabus CBSE Class 9 Social Science Syllabus

Definition of Unit Area

The unit area is the area bounded by a figure whose sides are unit length. It is a positive real number and is commonly represented in square units.

Notation of Area of a Polygon

The area of a polygonal figure A is denoted by a r ( A ) . In meters, it is denoted by m square.

Area Axioms

Area of a Rectangular Region

Theorem 2

Statement:

Parallelograms on the same base and between the same parallel lines are equal in area.

Corollary Statement:

Parallelograms on equal bases and between the same parallels are equal in area.

Theorem 3

Statement:

Triangles on the same base and between the same parallels are equal in area.

Theorem 4

Statement:

Triangles of equal areas, having one side of one of the triangles equal to one side of the other, have their corresponding altitudes equal.

Benefits of CBSE Class 9 Maths Notes Chapter 9

Since the principles of mathematics surround us and a lack of comprehension of them can lead to serious issues in life, mathematics is vital to our everyday existence. It's a subject where solving various numerical problems requires a lot of practice and formula understanding. Students in class 9 can now improve their ability to solve mathematical problems by practicing the problems from the CBSE Class 9 Maths Notes Chapter 9, which are available here. To help students do well on their exams, all of the explanations have been selected from the Class 9 Math NCERT textbook. Our subject matter specialists develop notes for all the exercises in the NCERT textbook according to the prescribed syllabus, so that students in Class 9 can profit from them while they prepare for their exams. Students can thus easily get a comprehensive knowledge of these concepts by reading our CBSE Class 9 Maths Notes Chapter 9 and practicing them at their own pace. To help students become more adept at solving problems, subject matter experts have clearly articulated the notes. Students can consult the study materials offered by us to gain a better understanding of the Areas of Triangles and Parallelograms.
CBSE Maths Notes For Class 9
Chapter 1 – Number System
Chapter 2 – Polynomials
Chapter 3 – Coordinate Geometry
Chapter 4 – Linear Equations in Two Variables
Chapter 5 – Introduction to Euclid’s Geometry
Chapter 6 – Lines and Angles
Chapter 7 – Triangles
Chapter 8 – Quadrilaterals
Chapter 9 - Areas of Parallelograms and Triangles
CBSE Class 9 Maths Notes Chapter 10 - Circles Notes
CBSE Class 9 Maths Notes Chapter 11 - Constructions Notes
CBSE Class 9 Maths Notes Chapter 12 - Herons Formula Notes
CBSE Class 9 Maths Notes Chapter 13 - Surface Areas and Volumes Notes
CBSE Class 9 Maths Notes Chapter 14 - Statistics Notes
CBSE Class 9 Maths Notes Chapter 15 - Probability Notes

CBSE Class 9 Maths Notes Chapter 9 FAQs

What are the areas of parallelograms and triangles in maths 9th standard notes?

Area of a triangle = ½ x Base x Altitude. Area of a parallelogram = Base x Height. Triangles having the same base and equal areas lie between the same parallels. Triangles on the same base and between the same parallels are equal in area.

Which is the hardest chapter in maths class 9?

Geometry

Is triangles Class 9 difficult?

Also, under the geometry section Triangles is the toughest chapter as stated by the students of class 9.
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