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12. A/an triangle has all three angles measuring less than 90°. A. acute B. scalene C. obtuse D. right

Question

12. A/an triangle has all three angles measuring less than 90°.

  • A. acute
  • B. scalene
  • C. obtuse
  • D. right
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Solution

Break Down the Problem

  1. Identify the types of triangles based on their angles.
  2. Determine which type of triangle has all angles less than 90°.

Relevant Concepts

  • Acute Triangle: A triangle where all angles are less than 90°.
  • Scalene Triangle: A triangle with all sides of different lengths, which can be acute, obtuse, or right.
  • Obtuse Triangle: A triangle with one angle greater than 90°.
  • Right Triangle: A triangle with one angle equal to 90°.

Analysis and Detail

  • From the definitions, only the acute triangle meets the requirement of having all angles measuring less than 90°.
  • Scalene does not specify anything about angles; it only refers to side lengths.
  • Obtuse and right triangles have angles that are either greater than or equal to 90°.

Verify and Summarize

Based on the definitions, we can conclude that the triangle with all angles less than 90° is specifically an acute triangle.

Final Answer

A. acute

This problem has been solved

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