Triangle Median and Height: Identifying Side Construction in Geometric Diagram

To solve this problem, we'll observe features of the diagram and follow these steps:

• Step 1: Inspect the lines depicted in the triangle from the diagram.
• Step 2: Define geometric terms: median and height.
• Step 3: Identify which side of the triangle these lines reference.

Now, let's apply these steps:
Step 1: The diagram shows triangle $ABC$ with a line drawn from point $A$ to the base $BC$. Note that there is an apparent point $E$ where this line intersects $BC$ perpendicularly.
Step 2: The line $AE$ can be considered both the height and the median:

• As a height, $AE$ is perpendicular to the base $BC$.
• For the median, this line also bisects the segment $BC$ at point $E$, showing it divides opposite side $BC$ into two equal halves, hence making it the midpoint. This confirms the secondary condition of being a median.

Step 3: Conclude that line $AE$ acts on the side $BC$ as evidenced by its perpendicular nature and midpoint bisecting property from the diagram.

Therefore, the solution to the problem is that both the median and the height are drawn to side $BC$.