Angle bisectors from vertices $B$ and $C$ and the perpendicular bisector of side $BC$ are drawn in a non-isosceles triangle $ABC$. Next, three points of pairwise intersection of these three lines were marked (remembering which point is which), and the triangle itself was erased. Restore it according to the marked points using a compass and ruler.

(Yu. Blinkov) 
1. **Identify the given lines and their properties:**
   - Let \( a \) be the perpendicular bisector of side \( BC \).
   - Let \( b \) be the angle bisector from vertex \( B \).
   - Let \( c \) be the angle bisector from vertex \( C \).

2. **Reflect the angle bisectors about the perpendicular bisector:**
   - Construct line \( b' \) by reflecting \( b \) about \( a \).
   - Construct line \( c' \) by reflecting \( c \) about \( a \).

3. **Determine the positions of vertices \( B \) and \( C \):**
   - Vertex \( B \) is the intersection of lines \( c' \) and \( b \).
   - Vertex \( C \) is the intersection of lines \( b' \) and \( c \).

4. **Construct the sides of the original triangle:**
   - Reflect side \( BC \) about the angle bisector \( b \) to get a line. This line will be one of the sides of the original triangle.
   - Reflect side \( BC \) about the angle bisector \( c \) to get another line. This line will be another side of the original triangle.

5. **Find the intersection of the reflected lines to locate vertex \( A \):**
   - The intersection of the two reflected lines (from step 4) will give the position of vertex \( A \).

6. **Reconstruct the original triangle \( ABC \):**
   - Connect vertices \( A \), \( B \), and \( C \) to form the triangle.

\[
\boxed{\text{The original triangle } ABC \text{ is restored.}}
\]