Verification of Thales Theorem
Demonstrating the Basic Proportionality Theorem
Explore Thales Theorem which states that if a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides those sides proportionally.
Thales Theorem
Current Step:
Click "Step 1" to begin verifying Thales Theorem.
The Geometry Behind Thales Theorem
Key Concepts:
Thales Theorem (Basic Proportionality Theorem) states:
- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points
- The other two sides are divided in the same ratio
- If DE ∥ BC in ΔABC, then AD/DB = AE/EC
Construction Steps:
- Draw any triangle ABC
- Mark points D and E on sides AB and AC respectively
- Draw a line DE parallel to BC
- Measure and verify that AD/DB = AE/EC
