Question

The sides of ABC are a, b, and c. If the lengths of a = 7 and b = 10, what are the

possible lengths of c?
A) 3 B) 3 C) 3 D) 7

Answer 1

If sides a and b are almost in a straight line, then c is almost a+b=7+10=17.

If side a is folded back almost against side b, then c is just over b - a = 3.

Therefore 3 < c < 17. That is, the possible lengths of c are all points between 3 and 17.