a triangle has congruent sides. The lengths of two sides of the triangle are AB and BD. Use the number line above to determine lengths of AB and BD. Then, use the triangle inequality theorem to determine which two segments have lengths the could be used as the third side of the triangle. Select a response containing 2 possible answers.
To determine the lengths of AB and BD, we can use the number line:
AB would have a length of 2 units, and BD would have a length of 4 units.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Possible third side lengths could be:
1. AC = 6 units
2. CD = 2 units