State true or false.
(a) A median of a triangle may lie outside the triangle.
(b). The medians of a triangle meet at more than one points.
(c) The centroid of a triangle always lies inside the triangle.

Answer

Let's analyze each statement one by one and determine whether they are true or false.

### Solution:

**(a)** A median of a triangle may lie outside the triangle.
- A median of a triangle is defined as a line segment that connects a vertex of the triangle to the midpoint of the opposite side. By this definition, since the median connects points that are part of the triangle (the vertex and the midpoint of the opposite side), it cannot lie outside the triangle. Therefore, this statement is **False**.

**(b)** The medians of a triangle meet at more than one point.
- The medians of a triangle are the segments that connect each vertex to the midpoint of the opposite side. All three medians of a triangle intersect at a single point known as the centroid. Therefore, this statement is also **False**.

**(c)** The centroid of a triangle always lies inside the triangle.
- The centroid is the point where all three medians intersect. Since the medians are always inside the triangle, their intersection point, the centroid, must also be inside the triangle. Therefore, this statement is **True**.

### Summary of Answers:
- (a) False
- (b) False
- (c) True