The equation of the base of an equilateral triangle is `x+y=2` and its vertex is `(2,-1)dot` Find the length and equations of its sides.

Explanation

To solve the problem, we need to find the length and equations of the sides of an equilateral triangle where the base is given by the equation \(x + y = 2\) and the vertex is at the point \((2, -1)\).

### Step-by-Step Solution:

1. **Identify the Base and Vertex**:
- The base of the triangle is given by the line \(x + y = 2\).
- The vertex of the triangle is at the point \(A(2, -1)\).

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