The mid-points of the sides of a triangle are `(1,5,-1),(0,4,-2)a n d(2,3,4)dot` Find its vertices.

Explanation

To find the vertices of the triangle given the midpoints of its sides, we can use the coordinates of the midpoints and the properties of midpoints in a triangle.

Let's denote the vertices of the triangle as \( A(x_1, y_1, z_1) \), \( B(x_2, y_2, z_2) \), and \( C(x_3, y_3, z_3) \). The midpoints of the sides of the triangle are given as:
- Midpoint of \( AB \) is \( M_1(1, 5, -1) \)
- Midpoint of \( BC \) is \( M_2(0, 4, -2) \)
- Midpoint of \( CA \) is \( M_3(2, 3, 4) \)

### Step 1: Set up the equations for the midpoints
...