True or false:
AD is a side of triangle ABC.
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True or false:
AD is a side of triangle ABC.
To determine if line segment AD is a side of triangle ABC, we need to agree on the definition of a triangle's side. A triangle consists of three sides, each connecting pairs of its vertices. In triangle ABC, these sides are AB, BC, and CA. Each side is composed of a direct line segment connecting the listed vertices.
In the diagram provided, there is no indication of a point D connected to point A or any other vertex of triangle ABC. To claim AD as a side, D would need to be one of the vertices B or C, or a commonly recognized point forming part of the triangle’s defined structure. The provided figure and description do not support that AD exists within the given triangle framework, as no point D is defined within or connecting any existing vertices.
Therefore, according to the problem's context and based on the definition of the sides of a triangle, AD cannot be considered a side of triangle ABC. It follows that the statement "AD is a side of triangle ABC" should be deemed not true.
Not true
Can a triangle have a right angle?
A triangle's sides connect its three vertices in pairs. For triangle ABC, the sides are AB, BC, and CA. Any other segment is not a side of this triangle.
Even if point D exists, segment AD would only be a side if D replaced one of the original vertices (B or C). Since triangle ABC has vertices A, B, and C, AD cannot be a side.
Yes! If points A and D are vertices of another triangle, then AD could be a side of that triangle. But the question asks specifically about triangle ABC.
Use the triangle's name as a guide! Triangle ABC has sides AB, BC, and CA. Each side uses exactly two of the three vertices in the name.
A side of a triangle connects two vertices and forms the boundary. Other segments like medians or altitudes might be inside the triangle, but they're not sides.
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