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kirill [66]
3 years ago
13

In the figure below, points D, E, and F are the midpoints of the sides of LABC,

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answers:

  • DE = 39
  • AB = 68
  • BE = 34

=============================================================

Explanation:

BC = 78 is parallel to the midsegment DE.

This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39

-------

DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.

-------

BE = 34 for two reasons

  • Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent.
  • E is the midpoint of AB, so BE is half as long as AB

--------

We don't use the info that AC = 48.

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