Question

If the lengths of two sides of a triangular sign are 8 feet and 15 feet, which of the following lengths could be the length of the third side of the triangular sign?

Answer 1

Letting x be the missing length, we have

`7 < x < 23`

Explanation:

According to the Triangle Inequality Theorem:

8 + x > 15 -------> x > 7

8 + 15 > x -------> x < 23

x + 15 > 8 -------> x > -7

So we have 7 < x < 23.