Chapter 13: Constructions

Triangle Constructions

Construction of Triangles

To Construct Triangle Given:

1. Base, Sum of Other Sides, One Base Angle

  • Draw base BC
  • Construct angle at B
  • Cut arc = sum of sides
  • Join and bisect to find A

2. Base, Difference of Sides, One Base Angle

  • Draw base BC
  • Construct angle at B
  • Cut arc = difference
  • Complete construction

3. Perimeter and Two Base Angles

  • Draw line = perimeter
  • Construct given angles at ends
  • Bisect angles
  • Intersection points give vertices

Key Points

  • Use compass for equal lengths
  • Use protractor to verify angles
  • Measure to check accuracy

🎉 Chapter 13 Complete!