Question

Define a median of a triangle. How many medians can a triangle have?

Answer 1

Step 1: Define the median

The definition of a median is the line segment from a vertex to the midpoint of the opposite side.

Let $ABC$ be a triangle as shown in the following figure

Here, $AD$ is the median of a triangle $ABC$ which comes from the vertex $A$ to the midpoint of $BC$

Step 2: Find the number of medians can a triangle have

In a triangle, $ABC$ we can draw three medians from the three vertices $A,BandC$to the opposite sides $BC,ACandAB$respectively

The three medians are $AD,BEandCF$

Hence, triangle can have only three medians.