Introduction:
A triangle is a polygon with three sides and three angles. It is one of the simplest and most fundamental shapes in geometry. In a triangle, medians play an important role. Medians are line segments that connect a vertex of a triangle to the midpoint of the opposite side. In this question, we are asked to determine the number of medians a triangle can have.

Explanation:
A triangle can have three medians. Let's understand why.

Definition of a Median:
- A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.
- It is also important to note that all three medians of a triangle intersect at a single point, called the centroid.

Properties of Medians:
1. Medians Divide Sides Equally:
- Each median divides the opposite side into two equal segments.
- This means that the length of the segment from a vertex to the midpoint of the opposite side is equal to the length of the segment from the midpoint to the other endpoint of the opposite side.

2. Centroid is the Intersection Point:
- The centroid is the point of intersection of all three medians.
- It is the center of mass of the triangle and is often referred to as the "balance point."

Number of Medians:
- Since each vertex of a triangle has a side opposite to it, we can draw a median from each vertex to the midpoint of the opposite side.
- Therefore, a triangle can have three medians, one from each vertex.

Conclusion:
In conclusion, a triangle can have three medians. Medians are line segments that connect a vertex of the triangle to the midpoint of the opposite side. All three medians intersect at a single point called the centroid. The centroid is the center of mass of the triangle.