5-Inequalities in One Triangle - Kuta Software

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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