WorksheetsTriangle Inequality Theorem
Total questions: 17
Worksheet time: 9mins
Name
Class
Date
1.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
d)
Cannot be determined
2.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
3.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
4.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
5.
Identify the smallest angle.
a)
∠K
b)
∠L
c)
∠M
6.
Identify the largest angle.
a)
∠N
b)
∠Q
c)
∠P
7.
Identify the longest side measure.
a)
LM
b)
MQ
c)
LQ
8.
What is the range of values of x for a triangle's third side given side measures of 8 and 15?
a)
between 8 and 15
b)
between 7 and 23
c)
less than 7, greater than 23
9.
What is the range of values of x for a triangle's third side given side measures of 4 and 12?
a)
between 8 and 16
b)
less than 4, greater than 12
c)
between 4 and 12
10.
State if the three numbers can be measures of the sides of a triangle.
8,10,20
a)
Yes
b)
No
11.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
12.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
13.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
14.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
15.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
16.
Order the angles from greatest to least.
a)
a, b ,c
b)
a , c, b
c)
c , b , a
d)
b , c , a
17.
Which set of numbers may represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
{6,6,7}
c)
{6,4,2}
d)
{7,8,1}
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