Problem 1361

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.

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