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
![**Equilateral Triangle Problem**
**Problem Statement:**
The triangle below is equilateral. Find the length of side \( x \) in simplest radical form with a rational denominator.
**Diagram:**
A triangle is shown with the following characteristics:
- It's an equilateral triangle.
- One side of the triangle is labeled as 6.
- Another side, perpendicular to the base, is labeled as \( x \).
**Answer Choices:**
- \( \quad \) \( \quad \) \( 3 \)
- \( \bullet \quad 12 \)
- \( \quad \) \( \quad 6 \sqrt{3} \)
- \( \quad \) \( \quad 6 \sqrt{2} \)
In the provided multiple-choice options, the correct one has been marked, indicating the correct length of side \( x \) is \( 12 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb6a3e0a-0e9e-4eb9-b3f8-cac67ff0b1b6%2F1971122e-ca11-4022-91c5-11f634def7fc%2F2chbq4m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Equilateral Triangle Problem**
**Problem Statement:**
The triangle below is equilateral. Find the length of side \( x \) in simplest radical form with a rational denominator.
**Diagram:**
A triangle is shown with the following characteristics:
- It's an equilateral triangle.
- One side of the triangle is labeled as 6.
- Another side, perpendicular to the base, is labeled as \( x \).
**Answer Choices:**
- \( \quad \) \( \quad \) \( 3 \)
- \( \bullet \quad 12 \)
- \( \quad \) \( \quad 6 \sqrt{3} \)
- \( \quad \) \( \quad 6 \sqrt{2} \)
In the provided multiple-choice options, the correct one has been marked, indicating the correct length of side \( x \) is \( 12 \).
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