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 BC and AD cap b cap c and cap A cap d CD and AC cap c cap d and cap A cap c AC and BC cap A cap c and cap b cap c BC and CD

Question

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 BC and AD cap b cap c and cap A cap d CD and AC cap c cap d and cap A cap c AC and BC cap A cap c and cap b cap c BC and CD

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1 answer
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Answer 1

Bot GPT 3.5 answered
8 months ago

Using the number line, we can determine that AB has a length of 4 units and BD has a length of 6 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.

Therefore, 1 possible answer is AC and another possible answer is AD.