Question

Two sides of a triangle measure 12 and 10. Which inequality

shows all the possible lengths of the third side, x?

Answer 1

• A) 2 < x < 22

-------------------------------------

Using triangle inequality theorem, we get two options:

1) x is the longest side, then:

• x < 10 + 12 = 22

2) x is the shortest side, then:

• x > 12 - 10 = 2

Combine the two options to get, x is between 2 and 22, or:

• 2 < x < 22

This is the first choice.