6th to 8th, High School
Sometimes, three straight line segments will form a triangle. And sometimes, they won't. How do you know when they will or won't? This activity lets you explore that question.
Set the length of the first segment to 5.0, and change the length of the second segment to 10.0. Now, change the length of the third segment.
Now, change the first two segments to whatever lengths you like, and conduct the same investigation with the third segment. If necessary, repeat this several times until you identify a pattern.
Can you find a general rule that will let you determine whether or not a triangle can be formed, given any three segments?