Read the following statements carefully and decide which of the given statement(s) is/are true.
1. A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
2. In a triangle, centroid divides the median in 2: 1 ratio

Correct option is B

Given

Statement 1: A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

Statement 2: In a triangle, the centroid divides the median in a 2:1 ratio.

Concept Used

Median of a Triangle: A line segment connecting a vertex of a triangle to the midpoint of the opposite side.

Centroid Property: The centroid of a triangle divides each median into two parts in a ratio of 2:1, with the larger part being closer to the vertex.

Solution

Statement 1: This is correct as the definition of a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

Statement 2: This is also correct since the centroid divides the median into two parts in the ratio of 2:1. 

Thus, Option(B) is correct.