Worksheet by Kuta Software LLC. Kuta Software ... 2). 20 cm. 18 cm. 13 cm. M. L.
K. 3) In ∆RQP. QP = 15 ft. RP = 25 ft. RQ = 13 ft. 4) In ∆ ... 8) In ∆EFG. FG = 10.9 ...
Kuta Software - Infinite Geometry
Name___________________________________
Inequalities in One Triangle
Date________________ Period____
Order the angles in each triangle from smallest to largest. 1)
2)
16 yd
L
K
J 18 cm
14 yd
18 yd
L
13 cm
M
20 cm
K
3) In ∆RQP QP = 15 ft RP = 25 ft RQ = 13 ft
4) In ∆TUV UV = 17 yd TV = 14 yd TU = 9 yd
Name the largest and smallest angle in each triangle. 5)
6)
D 20 ft
16 ft
C
Y
17 ft
19 ft
B
7) In ∆UVW VW = 13 m UW = 11.7 m UV = 5.8 m
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X
17 ft
20 ft
W
8) In ∆EFG FG = 10.9 in EG = 17 in EF = 10.9 in
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Worksheet by Kuta Software LLC
Order the sides of each triangle from shortest to longest. 9)
10)
F
L 98°
46°
M
55°
36° 63°
62°
N
E
G
11) In ∆VWX m∠V = 50° m∠W = 48° m∠X = 82°
12) In ∆STU m∠S = 50° m∠T = 70° m∠U = 60°
Name the longest and shortest side in each triangle. 13)
A
14)
F 66°
46°102°
C
48°
B
15) In ∆DEF m∠D = 35° m∠F = 95°
E
66°
D
16) In ∆KLM m∠K = 50° m∠L = 100° m∠M = 30°
Critical thinking questions: 17) In triangle ABC: AB is the longest side. 70° is the measure of angle B.
18) In triangle XYZ: XY is the shortest side. 30° is the measure of angle Y.
Find the range of possible measures for angle A.
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Find the range of possible measures for angle X.
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Inequalities in One Triangle
Date________________ Period____
Order the angles in each triangle from smallest to largest. 1)
2)
16 yd
L
K
J 18 cm
14 yd
18 yd
L
K
13 cm
M
20 cm
∠L, ∠M, ∠K
∠J, ∠K, ∠L
3) In ∆RQP QP = 15 ft RP = 25 ft RQ = 13 ft
4) In ∆TUV UV = 17 yd TV = 14 yd TU = 9 yd
∠P, ∠R, ∠Q
∠V, ∠U, ∠T
Name the largest and smallest angle in each triangle. 5)
6)
D 20 ft
16 ft
C
Y
17 ft
19 ft
B
X
∠C, ∠B
7) In ∆UVW VW = 13 m UW = 11.7 m UV = 5.8 m
20 ft
W
∠Y, ∠X
8) In ∆EFG FG = 10.9 in EG = 17 in EF = 10.9 in
∠U, ∠W
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17 ft
∠F; ∠E
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and ∠G
Worksheet by Kuta Software LLC
Order the sides of each triangle from shortest to longest. 9)
10)
F
L 98°
46°
M
55°
36° 63°
62°
N
E
G
LM, LN, MN
GE, GF, FE
11) In ∆VWX m∠V = 50° m∠W = 48° m∠X = 82°
12) In ∆STU m∠S = 50° m∠T = 70° m∠U = 60°
VX, WX, VW
TU, ST, SU
Name the longest and shortest side in each triangle. 13)
A
14)
F 66°
46°102°
C
48°
B
AC, BC
15) In ∆DEF m∠D = 35° m∠F = 95° DE, EF
66°
E
D
EF and DE; DF
16) In ∆KLM m∠K = 50° m∠L = 100° m∠M = 30° KM, KL
Critical thinking questions: 17) In triangle ABC: AB is the longest side. 70° is the measure of angle B.
18) In triangle XYZ: XY is the shortest side. 30° is the measure of angle Y.
Find the range of possible measures for angle A.
Find the range of possible measures for angle X.
0 < A < 40°
0 < X < 150°
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Worksheet by Kuta Software LLC
