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quester [9]
4 years ago
15

Which set of line segments can be used to construct a triangle?

Mathematics
1 answer:
Darina [25.2K]4 years ago
4 0

Answer:

Option B

Step-by-step explanation:

<u>Option A </u>

In order to make a triangle:  a + b > c and b + c > a and c + a > b

2 is a, 6 is b, and 1 is c

a + b > c

2 + 6 > 1

8 > 1 -> <em>TRUE </em>

b + c > a

6 + 1 > 2

7 > 2 -><em> TRUE </em>

c + a > b

1 + 2 > 6

3 > 6 -> <em>FALSE </em>

<u>Option B </u>

In order to make a triangle:  a + b > c and b + c > a and c + a > b

3 is a, 3 is b, 2 is c

a + b > c

3 + 3 > 2  

6 > 2 -> <em>TRUE </em>

b + c > a

3 + 2 > 3

5 > 3 -> <em>TRUE </em>

c + a > b

2 + 3 > 3

5 > 3 -> <em>TRUE </em>

OPTION B IS A TRIANGLE

Option C and D are automatically incorrect because Option B is incorrect.  But, the same process would go to the end.

Answer: Option B

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