ΔABC is similar to ΔPQR. AB¯¯¯¯¯ corresponds to PQ¯¯¯¯¯, and BC¯¯¯¯¯ corresponds to
QR¯¯¯¯¯. If AB = 9, BC = 12, CA = 6, and PQ = 3, what are the lengths of QR¯¯¯¯¯ and RP¯¯¯¯¯?

Question

ΔABC is similar to ΔPQR. AB¯¯¯¯¯ corresponds to PQ¯¯¯¯¯, and BC¯¯¯¯¯ corresponds to 
QR¯¯¯¯¯. If AB = 9, BC = 12, CA = 6, and PQ = 3, what are the lengths of QR¯¯¯¯¯ and RP¯¯¯¯¯?

anonymous · Answer

QR = 4, RP = 2

QR = 6, RP = 4.5

QR = 4.5, RP = 6

QR = 2, RP = 4

anonymous · Answer

answers

anonymous · Answer

first option qr = 4  rp = 2

anonymous · Answer

well the ratio of similarity is
AB/PQ = 9/3 = 3
==> AC/RP=3    6/RP =3  HENCE RP=2CM
BC/QR = 3     12/QR = 3  HENCE QR = 4 CM

GET IT?? :P