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Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that `DeltaA B C ~DeltaP Q R`.

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To prove that triangle ABC is similar to triangle PQR given that sides AB and AC and median AD of triangle ABC are respectively proportional to sides PQ and PR and median PM of triangle PQR, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Given Information**: We are given that: \[ \frac{AB}{PQ} = \frac{AC}{PR} = \frac{AD}{PM} ...
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