Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-2 Triangle Congruence by SSS and SAS - Lesson Check - Page 230: 7


Not necessarily.

Work Step by Step

It is possible for the two triangles to be congruent if the carpenter divides the 21 feet of molding into three equal-sized pieces. However, there are other ways to form a triangle with a perimeter length of 21 that will not result in sides of equal lengths.
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