Triangle Inequality: Open Middle Problem (V2)
- Author:
- Tim Brzezinski
- Topic:
- Geometry, Inequalities, Triangles
Creation of this resource was inspired by this Open Middle problem from Christina Ploeckelman.
Set the perimeter = to the value indicated to you by your teacher. Use this app to explore your options here! Suggestion: Keep the solid segment horizontal. Note: Once you form a triangle from any three segments, it will appear!
How many triangles with fixed perimeter did you find? List all the sets of side lengths you found for the fixed perimeter you chose.
Is there a relationship among the 3 values that needs to be true in order for these 3 sides to form a triangle? If so, how would you describe it?
What causes 3 side lengths to not form a triangle? How would you describe it from what you've seen?