Constructing Triangles
Learn how to construct triangles using ASA, SAS, and SSS methods with a compass, ruler, and protractor. Let's get started! 🚀
Video Lesson
Watch and learn the basics
Flashcards
Review key concepts visually
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🛎️ Parts of a Triangle Explained
- The vertices A, B and C are labelled in an anticlockwise direction.
- Each side a, b and c is opposite its matching angle.
🛎️ Constructing a Triangle with Two Angles and the Included Side (ASA)
- The given side is the side between the two known angles.
- Draw the side first, then measure each angle at the ends so they meet at C.
🛎️ Constructing a Triangle with Two Sides and the Included Angle (SAS)
- Draw one side, then use a protractor to draw the angle at one end.
- Measure the second side along the angle to find point C.
🛎️ Common Pitfall: Two Possible Triangles
- With two sides and a non-included angle, there may be two triangles.
- This is called the ambiguous case and both triangles can be correct.
🛎️ Constructing a Triangle with Three Sides (SSS)
- Draw the longest side first to make construction easier.
- Use a compass to draw arcs from each end that meet at point C.
Practice Questions
Test your understanding
Interactive Activity
Practice identifying and constructing triangles
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