Download 5.5 Worksheet

Geometry
Name: _______________________
5.5 Homework
List the sides and angles of the triangle in order from least to greatest.
Q
1.
2.
S
5
3.
M
5.1
B
4.
13
105
62
14
57
31
R
5.7
T
Q
R
M
12
N
A
Sides:
Sides:
Sides:
Sides:
Angles:
Angles:
Angles:
Angles:
C
Can these numbers be the length of the sides of a triangle? Show math to prove your
answer, using the Triangle Inequality Theorem. Decide YES or NO for each.
5.
8, 9, 10
6.
1,1, 2
7.
6, 9, 8
8.
3, 4, 9
9.
12, 4, 17
10.
8, 7, 2
11.
14, 3, 9
12.
12, 18, 2
13.
3, 2, 1
In Exercises 14 – 19, the lengths of two sides of a triangle are given. What are the
possible lengths for the third side? Between what two numbers?
14.
8, 5
15.
____  x  _____
17.
4, 13
____  x  _____
9, 2
16.
____  x  _____
18.
27, 39
____  x  _____
10, 10
____  x  _____
19.
15, 6
____  x  _____
20.
Which of the following could be the length of
?
X
(a)
(b)
(c)
(d)
12
4
14
21
4
18
Y
Z
21.
Isosceles triangle ABC has side lengths 15 and 6. What is the length of the third
side?
22.
Isosceles triangle XYZ has side lengths 31 and 14. What is the perimeter?
23.
In triangle KLM, K  55 and L  40 . Which is the longest side of the triangle?
24.
In ∆PQR, PQ = 8, QR = 7, RP = 15; then which is the largest angle?
25.
In triangle NOP, N  95 and N  O  P . Which is the longest side of the
triangle?