Prove that the medians of an equilateral triangle are equal.

Explanation

To prove that the medians of an equilateral triangle are equal, we will follow these steps:

### Step 1: Define the Equilateral Triangle
Let triangle \( ABC \) be an equilateral triangle, where \( AB = BC = CA \).

### Step 2: Identify the Medians
Let \( D \), \( E \), and \( F \) be the midpoints of sides \( BC \), \( CA \), and \( AB \) respectively. Thus, the medians are \( AD \), \( BE \), and \( CF \).

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