Question

By the Triangle Inequality Theorem which set of side lengths could create a triangle?

Answer 1

Options?

Answer 2

A) 4, 8, 2
B) 5, 9, 6
C) 6, 8, 16
D) 10, 4, 3

Answer 3

So the idea of Triangle Inequality Theorem is that any sum of the lengths of any two sides of a triangle is greater than the length of the third side.

You can take two shortest side and add them up and see if it is larger than longest side

A would be 2 + 4 = 6, which is shorter than 8 so it's impossible to create triangle with these sides.

Answer 4

B is the only option to work.

C gets us 6+8 = 14 which is too short.
D gets us 3+4 = 10, which is also too short.

Answer 5

thank you