Triangles
Maharashtra Board · Class 9 · Mathematics
Quick revision notes for Triangles — Maharashtra Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Remote Interior Angles Theorem
- An exterior angle of a triangle equals the sum of its two remote interior angles
- Remote interior angles are the two angles of the triangle that are not adjacent to the exterior angle
- An exterior angle is always greater than either remote interior angle
Congruence of Triangles
- Two triangles are congruent if they have the same shape and size
- Congruent triangles have all corresponding sides and angles equal
- Four main tests for congruence: SAS, ASA, SSS, and Hypotenuse-Side test
Isosceles Triangle Theorems
- In an isosceles triangle, angles opposite to equal sides are equal
- If two angles of a triangle are equal, then sides opposite to them are equal
- These theorems are converses of each other
Special Right Triangles
- 30°-60°-90° triangle: sides are in ratio 1:√3:2
- 45°-45°-90° triangle: sides are in ratio 1:1:√2
- These ratios help in quick calculations without using trigonometry
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Triangles covers several key topics that are frequently asked in Maharashtra Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
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