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Question
determine if the statement is always, sometimes, or never true. a scalene triangle is obtuse. never sometimes always
A scalene triangle has all sides of different lengths. An obtuse triangle has one angle greater than 90 degrees. A scalene triangle can be obtuse (e.g., sides 3, 4, 6: using the Law of Cosines, the largest angle is obtuse), but it can also be acute (e.g., sides 2, 3, 4: all angles less than 90 degrees) or right (e.g., sides 5, 12, 13: right - angled, and scalene as all sides are different). So a scalene triangle is obtuse only sometimes.
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sometimes