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Theorem of Triangle Inequality

Exploration

1. Draw different types of triangles. Move the sliders to adjust the length of each segment. Move the points A, B and C to form a triangle. 2. Calculate the sum of length of two sides of the triangle and compare the value with the length of the third side 3. What can you conclude? 4. Next, determine 3 lengths of a triangle. Use the sliders to set the lengths. Try moving the points A, B and C to form a triangle. 5. What can you conclude?