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Constructions of Triangles

Maharashtra Board · Class 9 · Mathematics

Complete topic list for Constructions of Triangles in Maharashtra Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards4 concepts

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4 Topics · Maharashtra Board Class 9 Mathematics

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

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?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and 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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