Which of the following relates the sides of the triangles shown? Select all that apply. a b. 75° 105° A b>a O B. c>a O C. b

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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**Geometry Standards Review**

**Question 4 of 20**

**Which of the following relates the sides of the triangles shown? Select all that apply.**

[Image of three triangles with given angles and labeled sides]

1. **First Triangle:** 
   - Angle: 75 degrees
   - Hypotenuse labeled as side **a**
   - The side opposite 75 degrees is not labeled.

2. **Second Triangle:**
   - Right Angle (90 degrees)
   - Side opposite the right angle labeled as **b**
   - Both the adjacent sides of the right angle have tick marks indicating they are of equal length.

3. **Third Triangle:**
   - Angle: 105 degrees
   - Side opposite 105 degrees labeled as **c**
   - The other sides of the triangle have no labels.

**Answer Choices:**
- A. \( b > a \)
- B. \( c > a \)
- C. \( b < c \)
- D. \( a < b < c \)

You should review the relationships between the angles and the lengths of the sides in these triangles to determine the correct inequalities.

**Review Progress Button** – To monitor your progress in the questionnaire.

(Note: The images help illustrate the triangles and their respective angles and sides, crucial for understanding the comparison of side lengths based on angle measures.)
Transcribed Image Text:**Geometry Standards Review** **Question 4 of 20** **Which of the following relates the sides of the triangles shown? Select all that apply.** [Image of three triangles with given angles and labeled sides] 1. **First Triangle:** - Angle: 75 degrees - Hypotenuse labeled as side **a** - The side opposite 75 degrees is not labeled. 2. **Second Triangle:** - Right Angle (90 degrees) - Side opposite the right angle labeled as **b** - Both the adjacent sides of the right angle have tick marks indicating they are of equal length. 3. **Third Triangle:** - Angle: 105 degrees - Side opposite 105 degrees labeled as **c** - The other sides of the triangle have no labels. **Answer Choices:** - A. \( b > a \) - B. \( c > a \) - C. \( b < c \) - D. \( a < b < c \) You should review the relationships between the angles and the lengths of the sides in these triangles to determine the correct inequalities. **Review Progress Button** – To monitor your progress in the questionnaire. (Note: The images help illustrate the triangles and their respective angles and sides, crucial for understanding the comparison of side lengths based on angle measures.)
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