Question

Abcd is a trapezium in which ab dc and p and q are points on ad and bc, respectively such that pq dc. If pd = 18 cm, bq = 35 cm and qc = 15 cm, find ad.

Answer 1

given:- abcd is a trepezium in which ad||dc & p q are points on ad & bc resp. s.t pc||dc

also pd=18cm

bq=35cm & pc=15 cm

to find:-now, bc=50cm

as ab||dc & pq||dc

therefore ab||pq||dc

so ap/pd=bq/qc

ap/18cm=35/15cm

ap/18cm=2.33cm

ap=2.33×18cm

ap =41.94cm

as ad= ap+pd

ad=41.94+18cm

ad=59.94cm

Answer 2

Answer:

59.94

Step-by-step explanation:

Given:- ABCD is a trepezium in which AD||DC & P&Q are points on AD & BC resp. such that PC||DC

also PD=18cm

BQ=35cm & PC=15 cm

Solution:-BC=50cm

As AB||DC & PQ||DC

Therefore AB||PQ||DC

Hence, AP/PD=BQ/QC

AP/18cm=35/15cm

AP/18cm=2.33cm

AP=2.33×18cm

AP =41.94cm

Now, Since AD= AP+PD

AD=41.94+18cm

AD=59.94cm

Hope this helps