Question

ABC is similar to pqr. Ab corresponds to pq and bc corresponds to qr. if the length of ab is 9 units the length of bc is12units the length of ca is 6units and the length of pq is 3 units then the length of qr is ? Units and the length of rp is ? Units

Answer 1

QR would equal 4, and PR would equal 2.
if you multiply QP which equals 3, by 3, then you would get 9.
So you would divide BC by 3. 12/3= 4
Then divide AC by 3. 6/3=2.

Answer 2

`QR=4\ units`

`RP=2\ units`

Explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

triangle ABC is similar triangle PQR -------> given problem

so

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

we have

`AB=9\ units, PQ=3\ units,CA=6\ units,BC=12\ units`

Find the length of side QR

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

substitute the values and solve for QR

`(9)/(3)=(12)/(QR)`

`QR=12*3/9=4\ units`

Find the length of side RP

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

substitute the values and solve for RP

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

`RP=6*3/9=2\ units`