[size=150]Source: [url=https://www.openmiddle.com/]Open Middle[/url][br]By: [url=https://twitter.com/cploeck]Christina Ploeckelman[/url][/size]
Triangle Inequality: Open Middle Problem (V1)
Creation of this resource was inspired by this Open Middle problem from Christina Ploeckelman.
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 did you find? List all the sets of side lengths you find below.
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 [i]not[/i] form a triangle? How would you describe it from what you've seen?
[b]Math Teachers: [/b][br]For a version of this activity where you can have students choose different fixed perimeters to start, [url=https://www.geogebra.org/m/yzyrwgdm]click here[/url].