# Chapter 5 - Relationships Within Triangles - 5-6 Inequalities in One Triangle - Practice and Problem-Solving Exercises - Page 329: 24

A triangle cannot have these lengths for its sides.

#### Work Step by Step

Using the Triangle Inequality Theorem, we need to see if the sum of each of the combinations of two sides is greater than the other side: $15 + 15 > 1$ --> This statement is true. $1 + 15 > 15$ --> This statement is false. $1 + 15 > 15$ --> This statement is false. A triangle cannot have these lengths for its sides because two of the sides added together are not greater than the third side.

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