In ΔDEF, m∠D = 83° and m∠E = 11°. Which statement about the sides of ΔDEF must be true?
2 answers:
They are all acute angles
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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