Question

Triangle ABC is similar to triangle PQR . AB corresponds to PQ and BC corresponds to QR. lf AB = 9, BC = 12, CA = 6, and PQ = 3, what are the lengths of QR and RP?

Answer 1

`QR=4` and `RP=2`

Explanation:

As `DeltaABC~~DeltaPQR` and `AB` corresponds to `PQ` and `BC` corresponds to `QR`, we have,

Then we have

`(AB)/(PQ)=(BC)/(QR)=(CA)/(RP)`

Hence `9/3=12/(QR)=6/(RP)`

i.e. `9/3=12/(QR)`

or `QR=(3xx12)/9=36/9=4`

and `9/3=6/(RP)`

or `RP=(3xx6)/9=18/9=2`