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
Problem 1CT
Related questions
Question
what are the missing sides and
I need an explanation please i need to study for a test i want to know the process.
![Below is a transcription of the provided diagram for an educational website:
---
### Triangle Geometry
In the diagram provided, we have a triangle labeled ABC. Let's examine the details of this triangle:
- **Vertices**: The triangle has three vertices labeled A, B, and C.
- **Sides**:
- Side \(AB\) is opposite vertex \(C\).
- Side \(AC\) is opposite vertex \(B\).
- Side \(BC\) is opposite vertex \(A\) and measures 16 units in length.
- **Angles**:
- \(\angle A\) is at vertex \(A\) and is not explicitly labeled in the diagram.
- \(\angle B\) is at vertex \(B\), measuring \(71^\circ\).
- \(\angle C\) is at vertex \(C\), measuring \(18^\circ\).
From the information provided in the diagram, one can infer that \(\angle A\) can be calculated using the fact that the sum of the interior angles of a triangle is \(180^\circ\):
\[
\angle A = 180^\circ - ( \angle B + \angle C ) = 180^\circ - ( 71^\circ + 18^\circ ) = 91^\circ
\]
This triangle appears to be a scalene triangle, as all its sides are different in length (though measurements for sides \(AB\) and \(AC\) are not provided, the angle measures suggest non-equal sides).
---
This analysis provides insights into the geometrical properties of the triangle, aiding students in understanding basic concepts related to triangles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff41aa498-7cf5-4d76-b3a4-942b8f2ae29b%2F23204e35-41a0-4d75-9ed7-4fe545d7d422%2Fmiw0q7k_processed.png&w=3840&q=75)
Transcribed Image Text:Below is a transcription of the provided diagram for an educational website:
---
### Triangle Geometry
In the diagram provided, we have a triangle labeled ABC. Let's examine the details of this triangle:
- **Vertices**: The triangle has three vertices labeled A, B, and C.
- **Sides**:
- Side \(AB\) is opposite vertex \(C\).
- Side \(AC\) is opposite vertex \(B\).
- Side \(BC\) is opposite vertex \(A\) and measures 16 units in length.
- **Angles**:
- \(\angle A\) is at vertex \(A\) and is not explicitly labeled in the diagram.
- \(\angle B\) is at vertex \(B\), measuring \(71^\circ\).
- \(\angle C\) is at vertex \(C\), measuring \(18^\circ\).
From the information provided in the diagram, one can infer that \(\angle A\) can be calculated using the fact that the sum of the interior angles of a triangle is \(180^\circ\):
\[
\angle A = 180^\circ - ( \angle B + \angle C ) = 180^\circ - ( 71^\circ + 18^\circ ) = 91^\circ
\]
This triangle appears to be a scalene triangle, as all its sides are different in length (though measurements for sides \(AB\) and \(AC\) are not provided, the angle measures suggest non-equal sides).
---
This analysis provides insights into the geometrical properties of the triangle, aiding students in understanding basic concepts related to triangles.
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