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triangle DEF is formed by connecting the midpoints of the sides triabgle ABC. The lengths of the sides of DEF are shown. what is the length of AB​

triangle DEF is formed by connecting the midpoints of the sides triabgle ABC The lengths of the sides of DEF are shown what is the length of AB class=

Respuesta :

Answer:

6

Step-by-step explanation:

We know the theorem that if we connect the midpoints of any two sides of a triangle then the line so formed will be parallel to the third side and its length will be half of the length of the third side.

Now, Δ DEF is formed by connecting the midpoints of sides of Δ ABC.

Since line segment EF is formed by connecting the midpoint of side BC i.e. E and the midpoint of side AC i.e. F.

Therefore, AC = 2 × EF = 2 × 3 = 6 (Answer)

The length of AB is 6.

The following information should be considered:

  • Δ DEF should be developed by connecting the midpoints of sides of Δ ABC.
  • As the line segment EF is created by connecting the midpoint of side BC i.e. E and the midpoint of side AC i.e. F.

Therefore,

[tex]AC = 2 \times EF \\\\= 2 \times 3[/tex]

= 6

Learn more: brainly.com/question/17429689

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