given triangle abc is similar to triangle pqr .prove that ab/pq=ad/pm

Asked by  | 12th May, 2008, 12:16: PM

Expert Answer:

triangle ABC   and  triangle PQR  are similar --- given

 So,  AB /  PQ  = BC / QR  =  AC / PR   (  AD  and  PM  are  medians  to   triangles ABC   and  PQR)

 That means  D  and M are mid points of  BC & QR  respectively  Therefore  AB / PQ  =  2 BD / 2 QM  = AC / PR

 therefore  triangle ABD and   PQM   are   similar triangles  . therefore    AB / PQ  = BD/ QM = AD / PM

 Therefore   AB / PQ  == AD / PM

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Answered by  | 22nd Jul, 2008, 07:42: PM

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