Question

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missing work

Answer 1

32

Explanation:

In ΔLMK

short leg /long leg = 18/24

In ΔLMJ

short leg /long leg = 24/JK

Now we make them equal

(18/24) = (24/JK), cross multiply

18·JK = 24², divide both sides by 18

JK = 24²/18

JK = 32