Download Triangle Inequality Properties / Hinge Theorem

Geometry Honors - Mr. Allen-Black
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Triangle Inequality Properties / Hinge Theorem
Date________________ Period____
State if the three numbers can be the measures of the sides of a triangle.
1) 10, 12, 8
2) 9, 17, 6
3) 12, 5, 12
4) 9, 7, 5
Two sides of a triangle have the following measures. Find the range of possible measures for
the third side.
5) 8, 8
6) 7, 10
7) 10, 12
8) 12, 9
Order the angles in each triangle from smallest to largest.
9)
10)
U
16
V
T
17
8
11
18
S
T
14
U
11)
12)
Y
17
W
13
12
Z
21
Y
13)
X
8
14)
K
D
10
15
11
J
9
X
C
L
18
7
B
13
Order the sides of each triangle from shortest to longest.
15)
16)
D
T
U
70°
70°
45°
40°
65°
C
70°
B
S
Worksheet by Kuta Software LLC
-1-
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17)
M
40°
55°
18)
L
E
50°
85°
K
19)
95°
35°
D
F
20)
V
75°
N
U
25°
80°
80°
W
50°
50°
M
L
Find the missing length indicated.
21) Find FH
22) Find AC
F
U
B
6
C
6
H
C
T
G
D
A
23) Find YX
24) Find AB
12
R
X
6
H
T
F
Y
S
B
A
G
25) Find SU
S
26) Find LN
F
L
T
4
G
R
5
U
N
S
M
Worksheet by Kuta Software LLC
-2-
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Answers to Triangle Inequality Properties / Hinge Theorem
1) Yes
9) T, U, S
17) LK, MK, ML
25) 8
3) Yes
11) Z, X, Y
19) WV, WU, VU
5) 0 < x < 16
13) L, J, K
21) 12
7) 2 < x < 22
15) BC, BD, CD
23) 6
Worksheet by Kuta Software LLC
-3-
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