Question

7. Triangle MNQ is similar to triangle MOP. N 30 cm 9 cm M 0 12 cm P M M 24 cm Find the length of NQ. O A. 9.6 cm O B. 15 cm O C. 60 cm O D. 22.5 cm Please help!!! :( It is due today !!!

Answer 1

If the triangles MNQ and MOP are similar, then you know that the corresponding sides are at the same ratio. Because of this property, we can determine that:

`(MN)/(MO)=(MQ)/(MP)=(NQ)/(OP)`

We know the measure of the corresponding sides MQ=12cm and MO=24cm, and the measure of the corresponding side to NQ, using these measures we can calculate NQ as follows:

`\begin{gathered} (MQ)/(MO)=(NQ)/(OP) \\ (12)/(24)=(x)/(30) \\ 30((12)/(24))=x \\ x=15 \end{gathered}`

Side NQ measures 15 cm

The correct option is B.