Final answer:
To find the value of MN in triangle LMC, we can use the concept of similar triangles.
Step-by-step explanation:
To find the value of MN, we can use the concept of similar triangles. In triangle ABC, we have AB = 21 cm, BC = 16.8 cm, and LM = 28 cm. Since triangle LMC is similar to triangle ABC, we can set up the following proportion:
LC / BC = MC / AB
Substituting the given values, we have:
LC / 16.8 = 28 / 21
Now, we can solve for LC:
LC = (16.8 * 28)/21 = 22.4 cm
Therefore, the value of MN is 22.4 cm.