The perpendiculars drawn from the vertices to the opposite sides of a triangle, meet at the point whose name is

Options

A. incentre
B. circumcentre bar
C. centroid
D. orthocentre

Answer

To solve the question regarding the point where the perpendiculars drawn from the vertices of a triangle to the opposite sides meet, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Triangle**:
- Consider a triangle ABC with vertices A, B, and C.

2. **Drawing Perpendiculars**:
- From vertex A, draw a perpendicular line to side BC. Let this point of intersection be D.
- From vertex B, draw a perpendicular line to side AC. Let this point of intersection be E.
- From vertex C, draw a perpendicular line to side AB. Let this point of intersection be F.

3. **Identifying the Intersection Point**:
- The three perpendiculars AD, BE, and CF intersect at a single point inside or outside the triangle.

4. **Naming the Point**:
- The point where these three perpendiculars meet is called the **Orthocenter** of the triangle.

### Conclusion:
Thus, the answer to the question is that the point where the perpendiculars drawn from the vertices to the opposite sides of a triangle meet is called the **Orthocenter**.

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