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5-Inequalities in One Triangle
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©M X2O0Z1B17 3K5umtbaW ASfoRfstTwNaEroeG zLYL1Ck.u b mAMlVlw crcisgKh7tqsW VrZehsNefr5vOeJd1.9 3 4MBapdter MwxiWtXhA 8IFn4fDiineiOtpe2 fGxeJo1mSeStjroy0.i Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________Inequalities in One Triangle
Order the angles in each triangle from smallest to largest.
1)
18 yd14 yd
16 ydJ
K
L
2)
20 cm
18 cm13 cm
ML
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)
17 ft
16 ft20 ft
BC
D6)
20 ft
19 ft 17 ft
WX
Y
7) In ∆UVW
VW = 13 m
UW = 11.7 m
UV = 5.8 m
8) In ∆EFG
FG = 10.9 in
EG = 17 in
EF = 10.9 in
-1-
©j q2w0q1N1k iKpuHtaa2 ISHohfYtlwMaGrxe9 GLzLzCA.5 6 7AXlXlj YrditgJhvtosI brce0sHeZrmvye8d3.6 8 lMda6deeT gwli0tsh2 NIQnlfRiLn0i6tneI tG3e6osmteJtwrbyh.F Worksheet by Kuta Software LLC
Order the sides of each triangle from shortest to longest.
9)
G
F
E63°
55°
62°
10) L M
N
98° 46°
36°
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
BC102°46°
14)
DE
F
66°48°
66°
15) In ∆DEF
m∠D = 35°
m∠F = 95°
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.
Find the range of possible measures for
angle A.
18) In triangle XYZ:
XY is the shortest side.
30° is the measure of angle Y.
Find the range of possible measures for
angle X.
-2-
©g I2z0D161Q fKyuhtIan ESVoHfjtlw9abroec 0LmLzCE.K 9 gAvlZlk 7rciOgLhXtRsr iroeisleDrtvVeJd7.z p oMLafdFe3 Hw7iWtoh5 2Ienvf4ihnji9tXeN zG2eroLmReLtPrkyn.b Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________Inequalities in One Triangle
Order the angles in each triangle from smallest to largest.
1)
18 yd14 yd
16 ydJ
K
L
∠J, ∠K, ∠L
2)
20 cm
18 cm13 cm
ML
K
∠L, ∠M, ∠K
3) In ∆RQP
QP = 15 ft
RP = 25 ft
RQ = 13 ft
∠P, ∠R, ∠Q
4) In ∆TUV
UV = 17 yd
TV = 14 yd
TU = 9 yd
∠V, ∠U, ∠T
Name the largest and smallest angle in each triangle.
5)
17 ft
16 ft20 ft
BC
D
∠C, ∠B
6)
20 ft
19 ft 17 ft
WX
Y
∠Y, ∠X
7) In ∆UVW
VW = 13 m
UW = 11.7 m
UV = 5.8 m
∠U, ∠W
8) In ∆EFG
FG = 10.9 in
EG = 17 in
EF = 10.9 in
∠F; ∠E and ∠G
-1-
©S g2b0j1o1e fKQuutqav oSRoCfvtwwMaUrbeP fLjLNCB.i q dAVlJlD 0rpiOg3hWths7 Cr8ets1eirBvGekdA.J M fMBaCd0en WwliItVhp mINnCfjiKnjigtZe2 HGRetoomnezt0r4ye.B Worksheet by Kuta Software LLC
Order the sides of each triangle from shortest to longest.
9)
G
F
E63°
55°
62°
GE, GF, FE
10) L M
N
98° 46°
36°
LM, LN, MN
11) In ∆VWX
m∠V = 50°
m∠W = 48°
m∠X = 82°
VX, WX, VW
12) In ∆STU
m∠S = 50°
m∠T = 70°
m∠U = 60°
TU, ST, SU
Name the longest and shortest side in each triangle.
13) A
BC102°46°
AC, BC
14)
DE
F
66°48°
66°
EF and DE; DF
15) In ∆DEF
m∠D = 35°
m∠F = 95°
DE, EF
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.
Find the range of possible measures for
angle A.
0 <
A
< 40°
18) In triangle XYZ:
XY is the shortest side.
30° is the measure of angle Y.
Find the range of possible measures for
angle X.
0 <
X
< 150°
-2-
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