Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 75RE
Related questions
Question
![---
**Geometry Question**
*Points P and Q lie on the circle centered at R, forming △PQR. This triangle must be __.*
- Acute
- Right
- Isosceles
- Equilateral
[Answer choice options as bullet points]
---
**Explanation:**
In this type of geometry problem, we are considering the properties of points on a circle and the triangles they can form with the center of the circle. This example in particular is testing knowledge of triangle classifications, which can depend on side lengths, angles, or both.
Feel free to select one of the answer choices provided above.
**Additional Information:**
- **Acute Triangle:** All interior angles are less than 90 degrees.
- **Right Triangle:** One of the interior angles is exactly 90 degrees.
- **Isosceles Triangle:** At least two sides are of equal length.
- **Equilateral Triangle:** All three sides are of equal length, making all interior angles 60 degrees.
Understanding these definitions will help you determine the correct classification of △PQR based on the provided conditions.
---
No graphs or diagrams were provided in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0890c2ce-3692-4718-a578-4f9466fde9bf%2Fab54bd50-e706-4b32-a522-eddb720b2e82%2F0k0yyb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
**Geometry Question**
*Points P and Q lie on the circle centered at R, forming △PQR. This triangle must be __.*
- Acute
- Right
- Isosceles
- Equilateral
[Answer choice options as bullet points]
---
**Explanation:**
In this type of geometry problem, we are considering the properties of points on a circle and the triangles they can form with the center of the circle. This example in particular is testing knowledge of triangle classifications, which can depend on side lengths, angles, or both.
Feel free to select one of the answer choices provided above.
**Additional Information:**
- **Acute Triangle:** All interior angles are less than 90 degrees.
- **Right Triangle:** One of the interior angles is exactly 90 degrees.
- **Isosceles Triangle:** At least two sides are of equal length.
- **Equilateral Triangle:** All three sides are of equal length, making all interior angles 60 degrees.
Understanding these definitions will help you determine the correct classification of △PQR based on the provided conditions.
---
No graphs or diagrams were provided in this image.
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