## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 5 - Relationships Within Triangles - Chapter Review - Page 344: 32

#### Answer

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: $5 + 15 > 8$ --> This statement is true. $8 + 15 > 5$ --> This statement is true. $5 + 8 > 15$ --> This statement is false. A triangle cannot have these lengths for its sides because two of the sides added together is not greater than the third side.

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