Final answer:
To find the value of x in the triangles △JKL and △MKN, we can use the property of similar triangles. Similar triangles have the same shape but may be of different sizes.
Step-by-step explanation:
To find the value of x in the triangles △JKL and △MKN, we can use the property of similar triangles. Similar triangles have the same shape but may be of different sizes. In this case, since the triangles are similar, their corresponding sides are in the same ratio.
This means we can set up a proportion using the lengths of the corresponding sides:
KL/MN = JK/KM
Let's say that KL = 5 and JK = 3. Substituting these values into the proportion, we get:
5/MN = 3/KM
Now, solving for x, we can cross-multiply and solve:
3MN = 5KM
MN = (5/3)KM