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

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by apkaushik56

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by apkaushik56

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if AB/PQ=AC/PR=AD/PM;

AB=PQ

AC=PR

therefore by SS test...triangle ABC=triangle PQR

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

Therefore AB/PQ = AD/PM