Use the image to answer the question. A triangle has no congruent sides. The lengths of two sides of the triangle are AB and BD . Use the number line above to determine the lengths of AB and BD . Then, use the Triangle Inequality Theorem to determine which two segments have lengths that could be used as the third side of the triangle. Select a response containing 2 possible answers. (1 point) Responses AC and BC cap A cap c and cap b cap c BC and CD cap b cap c and cap c cap d CD and AC cap c cap d and cap A cap c BC and AD cap b cap c and cap A cap d Skip to navigation Highlight Item 1 , Fully Attempted. Item 2 , Fully Attempted. Item 3 , Fully Attempted. Item 4 , Fully Attempted. Item 5 , Fully Attempted. Item 6 , Fully Attempted. Item 7 , Fully Attempted. Item 8 , Fully Attempted. Item 9 , Fully Attempted. Item 10 , Fully Attempted. Item 11 , Unattempted. Item 12 , Unattempted.

Answer 1

The lengths of AB and BD are 2 and 5, respectively.

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 pairs of segments that could be used as the third side of the triangle are:
1. AC and BC
2. BC and CD