al denominator. 6

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
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**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 \( 12 \).
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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