Question

3. If Triangle MNP - Triangle QRS, MN = 14, NP = 8 MP=16 and QS = 7 then which of the following could be used to

solve for the length of QR ?

Answer 1

Answer: (4) QR/7=14/16 lol I think so

Answer 2

(4) QR/7 = 14/16

Step-by-step explanation:

Given that Triangle MNP is similar Triangle QRS, then MN is proportional to QR, NP is proportional to RS, and MP is proportional to QS.

This proportions can be written as follows:

QR = k*MN or k = QR/MN = QR/14

RS = k*NP or k = RS/NP = RS/8

QS = k*MP or k = QS/MP = 7/16

where k is some constant. Therefore:

QR/14 = 7/16 or QR/7 = 14/16