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ICE Princess25 [194]
3 years ago
11

In ΔDEF, m∠D = 83° and m∠E = 11°. Which statement about the sides of ΔDEF must be true?

Mathematics
2 answers:
DENIUS [597]3 years ago
8 0
They are all acute angles
VMariaS [17]3 years ago
3 0

We're given D = 83 and E = 11. Let's find the missing angle F

D+E+F = 180

83+11+F = 180

94+F = 180

F = 180-94

F = 86

Since the triangle has angles

D = 83

E = 11

F = 86

We can say the following:

  • FD is the shortest side (since it is opposite the smallest angle E = 11)
  • ED is the longest side (since it is opposite the largest angle F = 86)
  • That puts side EF as the medium length side of the triangle.
  • All three angles of this triangle are less than 90, so this triangle is acute.
  • Also, all three angles are different which makes this triangle scalene as well.
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