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Suppose there's a triangle JKL with J' opposite of J, K' opposite of K', and L'...

Suppose there's a triangle JKL with J' opposite of J, K' opposite of K', and L' opposite of L, and J', K', and L' are the midpoints of their respective segments. J', K', L' intersect at centroid M. Suppose a circle tangent to KL at L passes through J and M. Given the length of JJ' = 3, what is the length of KL?

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