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WorksheetsApplications of Triangle Inequality Theorem
Total questions: 10
Worksheet time: 9mins
Name
Class
Date
1.
Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.
a)
4, 4, 4
b)
5, 5, 10
c)
3, 6, 9
d)
5, 7, 11
e)
13, 5, 6
2.
Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.
a)
4, 4, 4
b)
5, 5, 10
c)
3, 6, 9
d)
5, 7, 11
e)
13, 5, 6
3.
Will these three sides form a triangle?
a)
yes
b)
no
4.
Will these line segments form a triangle?
a)
yes
b)
no
5.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
6.
Can the following side measures form a triangle?
3, 5, 8
3, 5, 8
a)
Yes
b)
No
7.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
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.
It is called the HINGE theorem, because...
a)
the vertex of the angle acts like a hinge to open the triangle.
b)
it's named after Joseph Hinge, the man who discovered it.
c)
"hinge" is the Spanish word for angle.
d)
the triangle makes a hinge shape, like a tent.
10.
Find the range of possible values of x.
a)
−20<x<21
b)
8<x<37
c)
34<x<37
d)
8<x<24
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