Name: Unit 6: Triangles - Part 2 Date: Per: Homework: Triangle Inequalities ** This is a 2-page document! ** Determine if the side lengths could form a triangle. Use an inequality to prove your answer. 1. 16 m, 21 m, 39 m 2. 18 in, 6 in, 13 in

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.3: Inequalities
Problem 10E: Of several angles, the degree measures are related in this way: mJKLmGHI the measure of the angle...
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Unit 6 triangles part 2 homework triangle inequalities
Name:
Unit 6: Triangles - Part 2
Date:
Per:
Homework: Triangle Inequalities
** This is a 2-page document! **
Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
1. 16 m, 21 m, 39 m
2. 18 in, 6 in, 13 in
3. 34 km, 27 km, 58 km
4. 29 ft, 38 ft, 9 ft
5. 12 cm, 12 cm, 25 cm
6. 31 yd, 14 yd, 19 yd
Given two sides of a triangle, find a range of possible lengths for the third side.
7. 4 cm, 17 cm
8. 24 ft, 52 ft
9. 9 yd, 32 yd
10. 16 km, 17 km
11. If a triangle has lengths of 27 m and 11 m,
check all the possible lengths for the third
12. If a triangle has lengths of 3 ft and 54 ft,
check all the possible lengths for the third
side.
side.
O 39 m
O 51 ft
O 53 ft
O 17 m
O 35 m
O 22 m
O 55 ft
O 57 ft
O 58 ft
O 16 m
Order the angles from least to greatest for 13-14, then greatest to least for 15-16.
14.
13.
21 m
10 in
7 in
24 m
17 m
J
6 in
H
R
© Gina Wilson (All Things Algebra®, LLC), 2014-2020
Transcribed Image Text:Name: Unit 6: Triangles - Part 2 Date: Per: Homework: Triangle Inequalities ** This is a 2-page document! ** Determine if the side lengths could form a triangle. Use an inequality to prove your answer. 1. 16 m, 21 m, 39 m 2. 18 in, 6 in, 13 in 3. 34 km, 27 km, 58 km 4. 29 ft, 38 ft, 9 ft 5. 12 cm, 12 cm, 25 cm 6. 31 yd, 14 yd, 19 yd Given two sides of a triangle, find a range of possible lengths for the third side. 7. 4 cm, 17 cm 8. 24 ft, 52 ft 9. 9 yd, 32 yd 10. 16 km, 17 km 11. If a triangle has lengths of 27 m and 11 m, check all the possible lengths for the third 12. If a triangle has lengths of 3 ft and 54 ft, check all the possible lengths for the third side. side. O 39 m O 51 ft O 53 ft O 17 m O 35 m O 22 m O 55 ft O 57 ft O 58 ft O 16 m Order the angles from least to greatest for 13-14, then greatest to least for 15-16. 14. 13. 21 m 10 in 7 in 24 m 17 m J 6 in H R © Gina Wilson (All Things Algebra®, LLC), 2014-2020
15.
16.
42 yd
25 yd
25 m
27 m
D.
33 yd
Y
24 m
17. Graph ABCD with B(0, 6), C(2, -5), D(-8, -1), then order the
angle measures from least to greatest.
Order the sides from least to greatest for 18-19, then greatest to least for 20-21.
18.
19. M
51
78
48
92
L.
20.
21. H
60
28
R
118
57
T.
Compare the sides and angles by filling in the blank with a< or > symbol.
22. QR
RS
23. AB
CD
121°
TJ123
65°
68°
C
D
24. MZFJG
MZHJG
25. M2QSP.
MLQSR
G
5
12
13
6
F
H
P
© Gina Wilson (AI Things Algebra, LLC), 2014-2020
Transcribed Image Text:15. 16. 42 yd 25 yd 25 m 27 m D. 33 yd Y 24 m 17. Graph ABCD with B(0, 6), C(2, -5), D(-8, -1), then order the angle measures from least to greatest. Order the sides from least to greatest for 18-19, then greatest to least for 20-21. 18. 19. M 51 78 48 92 L. 20. 21. H 60 28 R 118 57 T. Compare the sides and angles by filling in the blank with a< or > symbol. 22. QR RS 23. AB CD 121° TJ123 65° 68° C D 24. MZFJG MZHJG 25. M2QSP. MLQSR G 5 12 13 6 F H P © Gina Wilson (AI Things Algebra, LLC), 2014-2020
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