Classify the triangle by its angles and by its sides 1. 68° 2. 19° 19° 60° 22° 60%

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**Classify the Triangle by its Angles and by its Sides**

1. **Triangle 1**
   - Angles: 68°, 22°
   - Angle type: These angles add up to 90°, which, together with the third angle, makes it an acute triangle (all angles less than 90°).
   - Side type: Information about sides is not given, but with the angles available, it could be assumed it may not be equilateral or isosceles.
  
2. **Triangle 2**
   - Each angle is 19°.
   - This is not possible for standard triangles, as the sum of angles in a triangle must be 180°. There seems to be a misunderstanding or error if this is meant to be a full triangle.

3. **Triangle 3**
   - Angles: Two angles are each 60°.
   - Angle type: This is an equilateral triangle, as all angles are equal (60° each).
   - Side type: Additionally, because all angles are 60°, all sides are equal, making it equilateral.

Note: Each diagram requires the angles to sum to 180° for valid triangle configuration and classification.
Transcribed Image Text:**Classify the Triangle by its Angles and by its Sides** 1. **Triangle 1** - Angles: 68°, 22° - Angle type: These angles add up to 90°, which, together with the third angle, makes it an acute triangle (all angles less than 90°). - Side type: Information about sides is not given, but with the angles available, it could be assumed it may not be equilateral or isosceles. 2. **Triangle 2** - Each angle is 19°. - This is not possible for standard triangles, as the sum of angles in a triangle must be 180°. There seems to be a misunderstanding or error if this is meant to be a full triangle. 3. **Triangle 3** - Angles: Two angles are each 60°. - Angle type: This is an equilateral triangle, as all angles are equal (60° each). - Side type: Additionally, because all angles are 60°, all sides are equal, making it equilateral. Note: Each diagram requires the angles to sum to 180° for valid triangle configuration and classification.
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