Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - 5-5 Indirect Proof - Practice and Problem-Solving Exercises - Page 320: 10

Answer

An equilateral triangle cannot be a right triangle because in an equilateral triangle, all angles have to be the same, but in a right triangle, one angle has to be a right angle and the other angles have to be acute. Therefore, statements I and II contradict each other.

Work Step by Step

An equilateral triangle cannot be a right triangle because in an equilateral triangle, all angles have to be the same, but in a right triangle, one angle has to be a right angle and the other angles have to be acute. Therefore, statements I and II contradict each other.
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