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Answer :

Answer:

LA = 8

Step-by-step explanation:

Since ∆FIM ~ ∆LAK, therefore, the ratio of their corresponding sides are equal.

Thus:

FI/LA = FM/LK

FI = 4

LA = ?

FM = 6

LK = 12

Plug in the values

4/LA = 6/12

4/LA = 1/2

Cross multiply

LA*1 = 2*4

LA = 8