Name: _____________________________________________________ Period: ___________ Date: ________________
Inequalities in Triangles Guided Notes
Theorem – Largest Angle Opposite Longest Side
Theorem – Smallest Angle Opposite Shortest Side
Write the measurements of the triangles in order from least to greatest. (sides and angles)
B
a)
B
b)
6
5
100
C
35
45
A
A
7
C
Theorem- TRIANGLE
INEQUALITY
b) 15, 45
c) 1, 2
Page
1
Finding possible side lengths
a) 10, 14
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Name: _____________________________________________________ Period: ___________ Date: ________________
Inequalities in Triangles Guided Notes
Theorem- HINGE
THEOREM
Theorem- Converse of
the HINGE THEOREM
EXAMPLE 3- Complete the with <, > or =
a) m1___________ m2
b) KL ___________ NQ
c) DC ___________ FE
C
1
D
45
L
Q
25
38
F
2
E
K
N
47
Page
2
27
38
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