Respuesta :

samuelAT

Answer:

NR is 6 meters

Step-by-step explanation:

Since APQR ~ AMNR and the ratio between the lengths of their sides is 2:1, we can set up the proportion:

[tex]\[\frac{PQ}{MN} = \frac{QR}{NR}\][/tex]

Given that QR = 12 meters, PQ = 12 meters and MN = 6 meters, we have:

[tex]\[\frac{12}{NR} = 2\][/tex]

Solving for NR, we get:

[tex]\[NR = \frac{12}{2} = 6\text{ meters}\][/tex]

So, NR should be 6 meters.

semsee45

Answer:

NR = 6 meters

Step-by-step explanation:

Since triangles PQR and MNR are similar, the ratio of the lengths of their corresponding sides is the same. Therefore:

PQ : MN = QR : NR = PR : MR

In this case, the ratio is 2 : 1, meaning that the side lengths of triangle PQR are twice the length of the corresponding sides of triangle MNR.

Given that QR is the corresponding side to NR, and QR = 12 meters, then NR is half of this, which means NR = 6 meters.

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