Question

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

Answer 1

Answer:

Option B

Step-by-step explanation:

Option A

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 -> TRUE

b + c > a

6 + 1 > 2

7 > 2 -> TRUE

c + a > b

1 + 2 > 6

3 > 6 -> FALSE

Option B

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 -> TRUE

b + c > a

3 + 2 > 3

5 > 3 -> TRUE

c + a > b

2 + 3 > 3

5 > 3 -> TRUE

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