`If a line is drawn to one side of a triangle to intersect the other two sides in distinct points, prove that the other two sides are divided in the same ratio.

Explanation

To prove that if a line is drawn to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio, we can follow these steps:

### Step-by-Step Solution:

1. **Consider Triangle ABC**: Let triangle ABC be given, where a line DE is drawn parallel to side BC, intersecting sides AB and AC at points D and E respectively.

2. **Identify Ratios**: We need to show that the segments AD and DB on side AB, and AE and EC on side AC are in the same ratio. That is, we need to prove:
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