Mathematics can be both fantastic and challenging at the same time. Specially in class 10 when students have to give board paper. So our NCERT class 10 Mathematics Chapter 6 Triangles notes will provide conceptual clarity to the students. It will work like a bridge for students between class room theory lecture and solving exercise at home.
These Class 10 Chapter 6 Triangles Notes is a masterstroke for students who want to pursue a career in science, like becoming an engineer, scientist etc. Most of the concept given in class 11 maths have already been introduced in class 10 maths. So these notes are also the foundation of class 11 math.
Class 10 Maths Chapter 6 Triangles Notes
Chapter 5: Arithmetic Progressions Notes
Chapter 7: Coordinate Geometry Notes
Below we have also given most important topics of NCERT Class 10 Mathematics chapter 6 Triangles Notes. Students should revise these notes regularly to remember the chapter properly.
Important Topics of Triangles
AAA (Angle-Angle-Angle) similarity criterion:
If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar.
AA (Angle-Angle) similarity criterion:
If two angles of a triangle are respectively equal to two angles of another triangle, then by the angle sum property of a triangle their third angles will also be equal.
Thus, AAA similarity criterion changes to AA similarity criterion which can be stated as follows:
If two angles of one triangle are respectively equal to two angles of other triangle, then the two triangles are similar.
Converse of AAA similarity criterion:
If two triangles are similar, then their corresponding angles are equal.
SSS (Side-Side-Side) similarity criterion:
If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similar.
Converse of SSS similarity criterion:
If two triangles are similar, then their corresponding sides are in constant proportion.
SAS (Side-Angle-Side) similarity criterion:
If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.
Converse of SAS similarity criterion:
If two triangles are similar, then one of the angles of one triangle is equal to the corresponding angle of the other triangle and the sides including these angles are in constant proportion.
RHS (Right angle-Hypotenuse-Side) criterion:
If in two right triangles, hypotenuse and one side of one triangle are proportional to the hypotenuse and one side of another triangle, then the two triangles are similar. This criteria is referred as the RHS similarity criterion