The Triangle Inequality Theorem
You can change the lengths of the three segments by moving the sliders and change the angles between the segments by dragging the points. Interact with the diagram to answer the questions below.
1. Change the segment lengths to 3, 8, and 4.
Are you able to form a triangle?
Check your answer by checking the box below.
2. Change the segment lengths to 3, 7, and 4.
Are you able to form a triangle?
Check your answer by checking the box below.
3. Change the segment lengths to 3, 6, and 4.
Are you able to form a triangle?
Check your answer by checking the box below.
4. Make a conjecture about the relationship between the sum of two smaller sides and the largest side in a triangle.