Chapter 8 of 16
Syllabus
Constructions of Triangles — Syllabus
Maharashtra Board · Class 9 · Mathematics
What Constructions of Triangles covers in Maharashtra Board Class 9 Mathematics: 4 topics, for the 2026-27 session.
45 questions20 flashcards4 concepts
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4 Topics · Maharashtra Board Class 9 Mathematics · 2026-27
Topics in Constructions of Triangles
1
Previously Learned Constructions (Quick Recall)
- Construction when three sides are given (SSS)
- Construction when base and two adjacent angles are given (ASA)
- Construction when two sides and included angle are given (SAS)
2
Construction I: Base + Adjacent Angle + Sum of Remaining Sides
- Given: Base BC, angle adjacent to base (∠B), and sum AB + AC
- Strategy: Use perpendicular bisector property
- Key insight: If BD = AB + AC, then AD = AC (where D is on ray from B)
3
Construction II: Base + Adjacent Angle + Difference of Remaining Sides
- Given: Base BC, angle adjacent to base, and difference |AB - AC|
- Two cases: AB > AC or AC > AB
- Use perpendicular bisector property with modified approach
4
Construction III: Perimeter + Base Angles
- Given: Perimeter of triangle and two base angles
- Perimeter = AB + BC + AC
- Use angle bisector property for construction
Key Concepts
This theorem states that every pointWhen given a baseSimilar to the sum methodWhen the perimeter and two base
Work through every topic in Constructions of Triangles with notes and quizzes
Start This ChapterFrequently Asked Questions
What are the important topics in Constructions of Triangles for Maharashtra Board Class 9 Mathematics?
Key topics in Constructions of Triangles include Previously Learned Constructions (Quick Recall), Construction I: Base + Adjacent Angle + Sum of Remaining Sides, Construction II: Base + Adjacent Angle + Difference of Remaining Sides, Construction III: Perimeter + Base Angles. Study these first, then practise questions on each for Class 9 exams.
How should I revise Constructions of Triangles for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Constructions of Triangles. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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