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?​

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 class=

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Ver imagen Rashmeetkaur45

Applying the triangle midsegment theorem, the length of BC is: 8.

The Triangle Midsegment Theorem?

  • Based on the triangle midsegment theorem, there are three midsegments in every triangle.
  • The midsegments are parallel to each of their corresponding third sides.
  • Length of midsegment = half of the length of the third side.

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.

Learn more about the triangle midsegment theorem on:

https://brainly.com/question/7423948