Length of perpendicular drawn on longest side of a scale

The length of a perpendicular drawn on the longest side of a scale is the smallest.

Explanation:
To understand why the length of the perpendicular is the smallest, let's consider a triangle and its longest side (also known as the base).

Properties of a triangle:
- A triangle is a closed figure with three sides.
- The longest side of a triangle is called the base.
- The perpendicular drawn from a vertex to the base is called the height.

Perpendicular from a vertex to the base:
- In a triangle, the perpendicular drawn from a vertex to the base divides the base into two segments.
- The segment on which the perpendicular is drawn is called the base of the perpendicular.
- The length of the perpendicular is measured as the shortest distance from the vertex to the base.

Relation between the length of the perpendicular and the base:
- When the base of a triangle is extended, the length of the perpendicular remains the same.
- If the base is shortened, the length of the perpendicular also remains the same.
- However, the length of the perpendicular is always the shortest distance from the vertex to the base.

Longest side of a scale:
- In the context of a scale, the longest side represents the base of a triangle.
- If we draw a perpendicular from one of the vertices to this longest side, the length of the perpendicular will be the shortest.

Conclusion:
Therefore, the length of the perpendicular drawn on the longest side of a scale is the smallest.

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