In the bottom figure, let one segment of the triangle rest and drag the third point close to the segment, and then far from the segment. Record the measures.
When does the figure cease to determine a triangle?
Write a mathematical statement relating the three segments based on the actions you performed on the points.
Repeat the process for the two remaining points in relation to the static opposite segment. Record your data, and construct a mathematical statement in each case.
Reflect on the statements you wrote. What are the limitations on the length of any side of a triangle--both its lower bound and its upper bound?