Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 161: 48

Answer

If both the base angles are bisected to form a new triangle then the base angles of the new triangle will be congruent because they are half of two congruent angles. Therefore the newly formed triangle will be isosceles because it has two congruent angles and therefore two congruent sides.

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