Mathematics

Problem

16. If

A D

and

P M

are medians of triangles

A B C

and

P Q R

, respectively where

\Delta \mathrm{ABC} \sim \Delta \mathrm{PQR}

, prove that

\frac{\mathrm{AB}}{\mathrm{PQ}}=\frac{\mathrm{AD}}{\mathrm{PM}}