Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places. Given: right AXYZ with XZ = YZ and XY = 132 %3D Find: XZ and YZ Y O simplest radical form XZ = approximation XZ = simplest radical form YZ = approximation YZ =

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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**Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.**

**Given:**  
- Right △XYZ with \( \overline{XZ} = \overline{YZ} \) and \( XY = 13\sqrt{2} \)  
**Find:**  
- \( XZ \) and \( YZ \)

**Diagram:**
A right triangle labeled XYZ with right angle at Y. This implies that \( \overline{XZ} \) and \( \overline{YZ} \) are equal.

**Calculations:**

- **Simplest radical form:**
  - \( \overline{XZ} = \)
  - \( \overline{YZ} = \)

- **Approximation:**
  - \( \overline{XZ} = \)
  - \( \overline{YZ} = \)

**Need Help?**
- **Read It**
- **Watch It** 

(Note: The diagram illustrates an isosceles right triangle based on the conditions given. The side labeled XY is the hypotenuse.)
Transcribed Image Text:**Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.** **Given:** - Right △XYZ with \( \overline{XZ} = \overline{YZ} \) and \( XY = 13\sqrt{2} \) **Find:** - \( XZ \) and \( YZ \) **Diagram:** A right triangle labeled XYZ with right angle at Y. This implies that \( \overline{XZ} \) and \( \overline{YZ} \) are equal. **Calculations:** - **Simplest radical form:** - \( \overline{XZ} = \) - \( \overline{YZ} = \) - **Approximation:** - \( \overline{XZ} = \) - \( \overline{YZ} = \) **Need Help?** - **Read It** - **Watch It** (Note: The diagram illustrates an isosceles right triangle based on the conditions given. The side labeled XY is the hypotenuse.)
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