Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. The lengths of the sides of DEF are shown. What is the length of BC?

Applying the triangle midsegment theorem, the length of BC is: 8.
Given:
DF = 4 (midsegment)
BC = ? (Third side).
Therefore,
BC = 2(DF)
BC = 2(4)
BC = 8
Therefore, applying the triangle midsegment theorem, the length of BC is: 8.
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