Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places. Given: right ADEF with mzE = 2 m F and EF = 14/3 %3D %3D Find: DE and DF D O simplest radical form DE = approximation DE = simplest radical form DF = apnrnximation DF =

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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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 △DEF with m∠E = 2 · m∠F and EF = 14√3

**Find:** DE and DF

![Right Triangle DEF](triangle-diagram.jpg)

### Triangle Diagram
- A right triangle labeled △DEF.
- Angle F is at the bottom left, point D is at the bottom right, angle E is at the top.
- Angle E is twice the size of angle F.
- The hypotenuse is labeled EF, with a given length of 14√3.

### Calculations

1. **Simplest Radical Form:**
   - DE = [Input box]
   - DF = [Input box]

2. **Approximation:**
   - DE = [Input box]
   - DF = [Input box]

**Need Help?** [Read It]
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 △DEF with m∠E = 2 · m∠F and EF = 14√3 **Find:** DE and DF ![Right Triangle DEF](triangle-diagram.jpg) ### Triangle Diagram - A right triangle labeled △DEF. - Angle F is at the bottom left, point D is at the bottom right, angle E is at the top. - Angle E is twice the size of angle F. - The hypotenuse is labeled EF, with a given length of 14√3. ### Calculations 1. **Simplest Radical Form:** - DE = [Input box] - DF = [Input box] 2. **Approximation:** - DE = [Input box] - DF = [Input box] **Need Help?** [Read It]
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