32. A triangle has side lengths of 12,35, and 38. Classify it as an acute, obtuse, or right.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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32. A triangle has side lengths of 12,35, and 38. Classify it as an acute, obtuse, or right.
### Geometry Question on Triangle Classification

**Question 32/36:**
A triangle has side lengths 12, 35, and 38. Classify it as acute, obtuse, or right.

**Answer Options:**
A. Obtuse  
B. Right  
C. Acute  
D. Not enough info to tell  

Select the correct answer option based on the given side lengths.

---
To classify the triangle, consider the properties of triangles with respect to their side lengths:

1. **Right Triangle:** Satisfies the Pythagorean theorem \( a^2 + b^2 = c^2 \).
2. **Acute Triangle:** All angles are less than 90 degrees.
3. **Obtuse Triangle:** One angle is greater than 90 degrees.

Use these properties to determine the correct classification.
Transcribed Image Text:### Geometry Question on Triangle Classification **Question 32/36:** A triangle has side lengths 12, 35, and 38. Classify it as acute, obtuse, or right. **Answer Options:** A. Obtuse B. Right C. Acute D. Not enough info to tell Select the correct answer option based on the given side lengths. --- To classify the triangle, consider the properties of triangles with respect to their side lengths: 1. **Right Triangle:** Satisfies the Pythagorean theorem \( a^2 + b^2 = c^2 \). 2. **Acute Triangle:** All angles are less than 90 degrees. 3. **Obtuse Triangle:** One angle is greater than 90 degrees. Use these properties to determine the correct classification.
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