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 - Lesson Check - Page 328: 4


The error in her drawing occurred because the sum of two sides of the triangle must be greater than the third side. One side already measures $8$, but all the sides added together must equal $16$, meaning the other two sides added together must equal $8$. We cannot have the length of one side equal to the sum of the lengths of the other two sides; the sum of the lengths of the two sides must be greater than that of the side that equals $8$, which is not the case in our friend's drawing.

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