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Constructions of Triangles

Maharashtra Board · Class 9 · Mathematics

Quick revision notes for Constructions of Triangles — Maharashtra Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards4 concepts

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Key Topics to Revise

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

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Full Notes

Key Concepts

This theorem states that every pointWhen given a baseSimilar to the sum methodWhen the perimeter and two base

Frequently Asked Questions

What are the important topics in Constructions of Triangles for Maharashtra Board Class 9 Mathematics?
Constructions of 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.
How to score full marks in Constructions of Triangles — Maharashtra Board Class 9 Mathematics?
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.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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