Which of the following figures will have it’s altitude outside the triangle

Options

A.
B.
C.
D.

Answer

To determine which figure has its altitude outside the triangle, we can analyze each option step by step.

### Step-by-Step Solution:

1. **Understand the Definition of Altitude**:
- An altitude of a triangle is a perpendicular segment drawn from a vertex to the line containing the opposite side. This means that the altitude can either fall inside the triangle or extend outside, depending on the type of triangle.

2. **Analyze Each Option**:
- **Option A**:
- For each vertex, draw a perpendicular line to the opposite side.
- All the altitudes for this triangle will fall inside the triangle.
- **Conclusion**: Altitudes are inside.

- **Option B**:
- Again, draw perpendicular lines from each vertex to the opposite side.
- All the altitudes for this triangle will also fall inside the triangle.
- **Conclusion**: Altitudes are inside.

- **Option C**:
- Draw perpendiculars from each vertex to the opposite side.
- All the altitudes for this triangle will fall inside the triangle as well.
- **Conclusion**: Altitudes are inside.

- **Option D**:
- Draw a perpendicular from one vertex to the opposite side.
- For one vertex, the perpendicular will extend outside the triangle.
- For another vertex, the perpendicular also extends outside.
- **Conclusion**: Altitudes are outside.

3. **Final Decision**:
- After analyzing all options, we find that **Option D** is the only figure where at least one altitude lies outside the triangle.

### Final Answer:
- The figure that has its altitude outside the triangle is **Option D**.