Question

Triangle ABC side AB is 30 and BC is 14 what could side AC be? 14,24,45, or 10

Answer 1

Use the Triangle Inequality Theorem: One side of a triangle has length less than the sum of the lengths of the other two and greater than the positive difference of the two. In this case, side AC lies between (30 - 14) and (30 + 14).
So, (30 - 14) < AC < (30 + 14).

Determine which of these < 14, 24, 45, or 10 > will make the inequality above true for AC.