Apollonius Theorem | In a triangle ABC, AB = 12 cm, BC = 18cm, AC = a cm and OX = (√23)/(√2) cm

In a triangle ABC, AB = 12 cm, BC = 18cm, AC = a cm and OX = (√23)/(√2) cm. The medians AX and BY intersect sides BC and AC at X and Y respectively. If AX and BY intersect each other at O, then what is the value of a?
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