Exploring the Triangle Inequality Theorem

This activity is used to help determine if the three segments can form a triangle. Adjust the sliders to given lengths and try to form a triangle by swinging the vertices C and D towards each other. Answer the questions below the applet to guide your exploration.

Set the following sliders to: a = 7 b = 5 c = 4 Are you able to create a triangle? If so, describe the triangle by its sides and angles.

Set the following sliders to: a = 3 b = 6 c = 2 Are you able to create a triangle? If so, describe the triangle by its sides and angles..

Set the following sliders to: a = 1 b = 13 c = 13 Are you able to create a triangle? If so, describe the triangle by its sides and angles..

Set the following sliders to: a = 9 b = 5 What are all the possible segment lengths for the third side, c, to complete the triangle?

Set the following sliders to: b = 14 c = 14 What are all the possible segment lengths for the third side, a, to complete the triangle?

How does changing the segment length of one side of the triangle affect the possible segment lengths of the other two sides?

What do you notice about the segment lengths needed to make a triangle?

Exploring the Triangle Inequality Theorem

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