in the figure below, points d, e, and f are the midpoints of the sides of abc. suppose ac =72 df = 34 and ab =48. find the following lengths

in the figure below points d e and f are the midpoints of the sides of abc suppose ac 72 df 34 and ab 48 find the following lengths class=

Respuesta :

Applying the triangle midsegment theorem, the following lengths are calculated as:

BC = 68

DE = 36

CE = 34

What is the Triangle Midsegment Theorem?

  • According to the triangle midsegment theorem, the midsegment length is half the third side of a triangle.
  • Triangles have three midsegments.

Given:

AC = 72

DF = 34

AB = 48

Find BC:

BC = 2(DF)

  • Substitute

BC = 2(34)

BC = 68

Find DE:

DE = 1/2(AC)

DE = 1/2(72)

DE = 36

Find CE:

CE = 1/2(BC)

CE = 1/2(68)

CE = 34

Thus, applying the triangle midsegment theorem, the following lengths are calculated as:

BC = 68

DE = 36

CE = 34

Learn more about the triangle midsegment theorem on:

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