Name
Class
Date
Practice 5-5
Inequalities in Triangles
Determine the two largest angles in each triangle.
1.
1 ft
N
M
C
2.
3.
18 m
5.5 ft
Q
14 m
6 ft
25 m
B
4.1 cm
1.9 cm
D
S
4.0 cm
R
L
P
4.
I
7 cm
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5.
13 cm
A
15 yd
39 cm
24 cm
T
K
20 yd
11 cm
R
S
6.
55 cm
A
25 yd
B
Can a triangle have sides with the given lengths? Explain.
7. 4 m, 7 m, and 8 m
8. 6 m, 10 m, and 17 m
9. 4 in., 4 in., and 4 in.
10. 1 yd, 9 yd, and 9 yd
11. 11 m, 12 m, and 13 m
12. 18 ft, 20 ft, and 40 ft
13. 1.2 cm, 2.6 cm, and 4.9 cm
14. 8 21 yd, 9 14 yd, and 18 yd
15. 2.5 m, 3.5 m, and 6 m
List the sides of each triangle in order from shortest to longest.
B
16.
C
47
17. L
S
18.
75
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
T
41
56
O
107
R
A
B
List the angles of each triangle in order from largest to smallest.
19. S
1.7
3.4
D
21. P
S
20.
28
R
13
25
2.6
38
26
N
A
J
21
O
The lengths of two sides of a triangle are given. Describe the lengths possible
for the third side.
22. 4 in., 7 in.
23. 9 cm, 17 cm
24. 5 ft, 5 ft
25. 11 m, 20 m
26. 6 km, 8 km
27. 24 in., 37 in.
Geometry Chapter 5
Lesson 5-5 Practice
5
Name
Class
Date
Practice 5-3
Concurrent Lines, Medians, and Altitudes
Find the center of the circle that circumscribes kLMN.
y
4 M
1.
2.
y
3.
M
4
2
2
2
N
L
4 2
2
4 x
2
4 2
2
4
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y
M
4
4
2
4
6
8 x
2
L
2
N
L
N
4. Construct the angle bisectors for ABC.
Then use the point of concurrency to construct an inscribed circle.
B
A
C
Is AB a perpendicular bisector, an angle bisector, an altitude, a median,
or none of these?
A
5.
x
4
6.
7.
A
A
B
B
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
B
9. A
8.
B
10.
B
A
A
B
For each triangle, give the coordinates of the point of concurrency of
(a) the perpendicular bisectors of the sides and (b) the altitudes.
11.
y
y
12.
4
3
2
y
13.
4
4
2
2
1
1
1
1 2
3
4
Geometry Chapter 5
5 6 x
4
2
2
2
4
4 x
4
2
2
4 x
2
4
Lesson 5-3 Practice
3