In similar triangles, corresponding sides are proportional. To determine which side of triangle PQR corresponds to side LN of triangle MNL, we can look at the ratios of the sides given for both triangles.
For triangle MNL:
- Side LN = 12
- Side NM = 10
- Side ML = 14
For triangle PQR:
- Side PR = 28
- Side RQ = 24
- Side PQ = 20
We can find the ratio of the sides in triangle PQR to those in triangle MNL.
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Find the ratio of \(LN\) to \(PR\): \[ \frac{LN}{PR} = \frac{12}{28} = \frac{3}{7} \]
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Check the other sides:
- For side NM to the sides of triangle PQR: \[ \frac{NM}{RQ} = \frac{10}{24} = \frac{5}{12} \]
- For side ML to the sides of triangle PQR: \[ \frac{ML}{PQ} = \frac{14}{20} = \frac{7}{10} \]
We can infer that:
- \(LN\) corresponds to \(PR\) based on the ratios matching. The corresponding sides maintain the same ratio across similar triangles.
Thus, the side of triangle PQR that corresponds to side LN in triangle MNL is \(PR\).