Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 5 - Relationships Within Triangles - 5-6 Inequalities in One Triangle - Practice and Problem-Solving Exercises - Page 329: 22

Answer

A triangle can 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: $11 + 12 > 15$ --> This statement is true. $12 + 15 > 11$ --> This statement is true. $11 + 15 > 12$ --> This statement is true. A triangle can have these lengths for its sides because all combinations of two sides added together are greater than the third side.
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