CBSE Triangle Notes for Class 10 Maths Chapter 6

One of the most important study materials for students studying in class 10 is the triangles chapter 6 is here. These CBSE chapter 6 notes are succinct and contain all of the subjects covered in this chapter, which may be tested on the board exam. You'll come across theorems that are founded on similar notions as well. You must have learnt about the essentials of triangles in prior year lessons, such as the area of a triangle and its perimeters, and so on.

The following are the important themes from this chapter that are discussed here:

1. What is the definition of a triangle?
• Criteria for comparing two polygons with the same number of sides
• Triangles have similarity requirements.
• Example Questions for Pythagoras Theorem Proof
• Triangle-based problems
• Triangle-Related Articles

For quick revision, students can use the links below to get the chapter's brief notes and MCQ questions, as well as a separate solution pdf.

CBSE Notes Class 10 Maths Chapter 6 Triangles – Free PDF Download

1. What exactly is a triangle?

The definition of a triangle is three angles and three sides. The sum of angle of inside the triangle is 180 degrees whereas the sum of angle of outside the triangle is 360 degrees. A triangle can be classified into the following types based on its angle and length:

Scalene Triangle - Each of the triangle's three sides has a different length.

Isosceles Triangle - Any two of the triangle's sides are the same length.

Equilateral Triangle - A triangle with all three sides equal and each angle measuring 60 degrees is called an equilateral triangle.

Triangle with acute angles - All angles are less than 90 degrees.

a correct angle Any of the three angles of a triangle equals 90 degrees.

One of the angles in an obtuse-angled triangle is more than 90 degrees.

Similarity Two Polygons with the Same Number of Sides Criteria

If the following two criteria are met, any two polygons with the same number of sides are comparable.

Their respective angles are the same, and their corresponding sides are proportional (or proportion)

It comprises four criteria for determining if two triangles are similar or not. They are as follows:

The Side-Side-Side (SSS) Similarity Criterion states that when two triangles' corresponding sides have the same ratio, their corresponding angles are equal, and the triangles are considered comparable.

The Angle-Angle-Angle (AAA) Similarity Criterion states that if the corresponding angles of two triangles are identical, their corresponding sides will have the same ratio, and the triangles will be regarded similar.

The Angle-Side-Angle (ASA) Similarity Criterion states that when two angles of one triangle are equivalent to two angles of another triangle and one side is equal to the other triangle’s side, the two triangles are said to be comparable

The SAS (Side-Angle-Side) Similarity Criteria — The triangles are considered to be comparable when one angle of one triangle equals one angle of another triangle and the sides containing these angles are in the same ratio (proportional).

Pythagoras Theorem Statement: According to Pythagoras. "In a right-angle triangle, the sum of squares of two sides of a right triangle equals the square of the hypotenuse “(the largest side of triangle)