Question

which of the following lengths could be the third side of a triangle with sides 14 and 10?

Answer 1

Problem:

which of the following lengths could be the third side of a triangle with sides 14 and 10?​

Solution:

Because we have an isosceles triangle, then this triangle has two equal sides. Thus, consider the following diagram:

Applying the inequality of the triangle, we look at the following inequality

Is true the following inequality?

$10\text{ +14}=24>14\text{ ? }$

The answer is yes. Then, we can conclude that the correct answer is

24.