Let B' be a point on line AB so that A is between B and B'. Let C' be a point on line AC so that A is between C and C'. If we are given that |AB| = b, |AC| = c, |AB'| = 5/b, |AC'| = 5/c, and |BC| = x, what is the distance |B'C'|? The answer should be in terms of b, c, x.