Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - Chapter Test - Page 345: 5

Answer

Statements I and II contradict each other.

Work Step by Step

A triangle that is a right triangle cannot be obtuse. A right triangle already has a right angle that equals $90^{\circ}$. The interior angles of a right triangle can only add up to exactly $180^{\circ}$; therefore, the other two angles can add up to only $90^{\circ}$, so there cannot be an obtuse angle in this triangle. Statements I and II contradict each other.
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