BD is the bisector of triangle ABC. Find BC. If AB = 6cm, AD = 8cm, DC = 4cm

The bisector of a triangle divides the opposite side into segments proportional to the adjacent sides. By the property of the bisector:

AB / BC = AD / DC.

From this ratio, we express BC and substitute the data into the equality:

BC = (AB * DC) / AD = (6 * 4) / 8 = 3 cm.

Answer: BC = 3 cm.

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