Question

Two sides of a triangle have lengths 9 and 14. Which inequalities represent the possible lengths for the third side, x?

Answer 1

`5 < x < 23`

Explanation:

Accoriding to the Triangle Inequality Theorem:

9 + x > 14 ------> x > 5

14 + 9 > x ------> x < 23

So we have 5 < x < 23.