Question

Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length

of the third side?

Answer 1

third side must be between 3 and 11, non-inclusive

Explanation:

Triangle Inequality Theorem:

sum of any two sides must be greater than the third

4 + 7 > x; x < 11

4 + x > 7; x > 3

third side:

3 < x < 11