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

Answer:

$QR=4\ units$

$RP=2\ units$

Step-by-step 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

$\frac{AB}{PQ}=\frac{CA}{RP}=\frac{BC}{QR}$

we have

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

Find the length of side QR

$\frac{AB}{PQ}=\frac{BC}{QR}$

substitute the values and solve for QR

$\frac{9}{3}=\frac{12}{QR}$

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

Find the length of side RP

$\frac{AB}{PQ}=\frac{CA}{RP}$

substitute the values and solve for RP

$\frac{9}{3}=\frac{6}{RP}$

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