How many triangles are there in the net of a triangular pyramid?

Options

A. 4
B. 5
C. 3
D. 6

Answer

To determine how many triangles are present in the net of a triangular pyramid, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Structure of a Triangular Pyramid**:
A triangular pyramid, also known as a tetrahedron, has a triangular base and three triangular faces that connect the base to a single apex point.

2. **Identify the Faces of the Pyramid**:
The triangular pyramid has a total of four triangular faces:
- 1 triangular base
- 3 triangular lateral faces (each connecting the apex to one side of the base)

3. **Draw the Net of the Triangular Pyramid**:
To visualize the net, imagine unfolding the triangular pyramid:
- Start with the triangular base.
- Attach each of the three triangular lateral faces to each side of the base.

4. **Count the Triangles in the Net**:
In the net of the triangular pyramid, you can see:
- 1 triangle for the base
- 3 triangles for the lateral faces
- This gives us a total of \(1 + 3 = 4\) triangles.

5. **Conclusion**:
Therefore, the net of a triangular pyramid contains **4 triangles** in total.

### Final Answer:
There are **4 triangles** in the net of a triangular pyramid.

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