Question

In triangle ABC and PQR, AB/PQ = AC/PR =AD/PM where AD and PM are corresponding medians. Prove that the triangles are similar.

Answer 1

acc to the propertionality theorem;
if AB/PQ=AC/PR=AD/PM;
AB=PQ
AC=PR 
therefore by SS test...triangle ABC=triangle PQR

Answer 2

AB/PQ = BC/QR = AC/PR 
Therefore AB/PQ = BC/QR = AC/PR = AD/PM (Corresponding sides are proportional, since they are similar triangles) 
Therefore AB/PQ = AD/PM