Triangle Height and Median: Identify the Corresponding Sides in ABC

To solve this problem, we'll verify which side or sides have the height and the median based on their definitions.

First, we identify what constitutes a height in the triangle. A height, or an altitude, is a perpendicular line segment from one vertex to the opposite side or its extension. In many triangles, this is represented by a line that intersects at a right angle with the side it is drawn to.

The median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. It divides the opposite side into two equal parts.

Now, we'll analyze the given diagram:

• Examine the triangle ABC and any drawn perpendicular lines that represent heights.
• Check for lines that extend from a vertex and bisect the opposite side, indicating medians.

Upon reviewing the diagram, there appear to be no segments that are clearly perpendicular from a vertex to the opposite side, suggesting no height is drawn. Similarly, there is no indication of a line from a vertex bisecting the opposite side, suggesting no median is concretely drawn either.

Therefore, based on this analysis, we conclude that no sides have the height or median explicitly drawn to them in this diagram.

The correct choice, given this information, is: No sides.