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Sides $$AB$$ and $$AC$$ and median of a triangle $$ABC$$ are, respectively, proportional to sides $$PQ$$ and $$PR$$ and median $$PM$$ of another triangle $$PQR$$. Show that triangle $$ABC$$ is similar to triangle $$PQR$$.

I know the solution to this question but I need help. I want to know why was a construction done to the two triangles. What was the logic behind the construction? Or is there any other method to solve this question other than my method?

Note by Prathamesh Samal
6 months ago