For the 2025β2026 academic year, the most important topics in Class 10 Maths for the chapter on
Triangles focus on the properties of similar triangles and applying the Basic Proportionality Theorem (BPT). Several proofs related to similar triangles and the Pythagoras Theorem have been removed from the syllabus, shifting the focus to direct application.
Core topics in triangles
Similarity of triangles
The core topics in triangles include understanding and applying the criteria for triangle similarity (AAA/AA, SSS, and SAS criteria) in various problems.
Basic Proportionality Theorem (BPT)
Key concepts involve the statement and proof of the BPT, which states that a line parallel to one side of a triangle intersecting the other two sides divides them proportionally. The converse of BPT is also important.
Areas of similar triangles
Students should know and apply the theorem that the ratio of the areas of two similar triangles equals the square of the ratio of their corresponding sides, though the proof has been removed.
Pythagoras Theorem
The statement and application of the Pythagoras Theorem (
c2=a2+b2c squared equals a squared plus b squaredπ2=π2+π2) and its converse are included.
Deleted topics for 2025β2026
For the 2025-2026 academic year, proofs for the following topics have been removed, shifting the focus to application:
- Ratio of areas of similar triangles.
- Pythagoras Theorem and its converse.
- Similarity of triangles formed by a perpendicular from the right angle vertex to the hypotenuse.Β
