what is the triangles value

Question

GEOMETRY Find the possible values of x . The perimeter is less than 28 feet. A triangle. The sides are labeled 7 feet, 7 feet and x. The possible values of x are

Answer 1

The sum of any two sides of a triangle must be greater than the length of the 3rd side (Otherwise you do not have a triangle).

So 7 + 7 > x,

14 > x, or

x < 14.

It must also be true:

x + 7 > 7

x > 0 (kind of obvious)

So, finally,

0 < x < 14