Question

please answer for this Q

Answer 1

according to intercept theorem,
ab/bc=pq/qr
so,pq/qr=6/9
so,2qr=3pq    so,pq=2/3qr .............1

bc/cd=qr/rs
so,3rs=4qr
so rs=4/3qr  ...........2

given :pq+Qr+rs=36
so ,  2/3qr+qr+4/3qr=36 ...............using 1 and 2

solving the equation qr=12
 so pq=2/3*12=8
so rs=4/3*12=16