Question

?ABC has a side of length 3 and a side of length 4. Is there another triangle with one side of length 3 and another side of length 4, but the third side length is different? Explain why or why not.

Answer 1

The third side can be any number equal to or larger than 7.

Explanation:

The triangle inequality states that 3 segments will create a triangle if the sum of any two sides is greater than or equal to the third.

a + b ≥ c

This means if a = 3 and b = 4, then c ≥ 7. The third side can be any number equal to or larger than 7.