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#1 2018-09-20 08:58:02

taylorcrue
Guest

geometry

Guys I really need help on these questions!!! I just don't understand what to do to figure them out.
7. Each set of numbers below represents the lengths of three line segments.
Which set represent line segments that could be connected to form a triangle? Give the reasoning or show your work to support your choice:
A. (1, 2, 3)
B. (3, 4, 5)
C.(1, 10, 100)
D. (1, 2, 5)
E. (1, 3, 4)
F. (1, 20, 100)


8. Each set of numbers below represents the lengths of three line segments.
Which set represent line segments that could be connected to form a triangle? Give the reasoning or show your work to support your choice
A. (3, 5, 7)
B. (3, 4, 8)
C.(1, 4, 6)
D. (1, 3, 5)
E. (5, 6, 11)
F. (1, 10, 20)


9. Each set of numbers below represents the lengths of three line segments.
Which set represent line segments that could be connected to form a triangle?  Give the reasoning or show your work to support your choice
A. (2, 2, 5)
B. (5, 4, 1)
C.(5, 10, 15)
D. (7, 10, 16)
E. (2, 3, 5)
F. (5, 10, 25)

#2 2018-09-20 14:47:14

Grantingriver
Member
Registered: 2016-02-01
Posts: 101

Re: geometry

It is very simple. You have to use the "strict' triangle inequality which states that the sum of the lengths of any two sides of a triangle is greater then the length of the other side or more precisely if x, y and z are the lengths of the sides of a given triangle then:


Therefore the solutions are:
1-B
2-A
3-D
I hope that answers your question.

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#3 2018-09-20 14:47:53

ganesh
Administrator
Registered: 2005-06-28
Posts: 26,405

Re: geometry

Hi taylorcrue,

Remember, the triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

In #7, only B would be appropriate.

Use the same analogy.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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