Question

Select all the correct answers.

You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side to construct a valid triangle?
8 centimeters
6 centimeters
4 centimeters
10 centimeters
2 centimeters

Answer 1

I think it is 6 and 4 

Answer 2

If x is the third side, then x is between 5-3 = 2 and 5+3 = 8. The value of x cannot be equal to 2, or it can't be equal to 8 either.

So 2 < x < 8. The following answer choices fit this inequality:
choice B) 6 cm
choice C) 4 cm

The other answer choices are outside of the interval 2 < x < 8

So that's why the answers are choice B and choice C.