Based on the given number line, the length AB is 3 units (from A to B) and the length BD is 1 unit (from D to B).
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.
Considering the lengths on the number line, the possible lengths for the third side of the triangle can be AC (7 units) and BC (2 units), so the correct response is:
AC and BC
Use the image to answer the question.
A number line with arrows at both the ends ranges from negative 5 to 5 in unit increments. The number line shows closed points on the following numbers along with letters labeled above the points: A for negative 4, B for negative 1, C for 3, and D for 4.
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
CD and AC
AC and BC
BC and CD
BC and AD
1 answer