Determine whether each of the following is true of a 30-60-90 triangle or a 45-45-90 triangle..

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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**Educational Content on Triangles:**

**Triangle Type Identification**

Determine whether each of the following statements is true for a 30-60-90 triangle or a 45-45-90 triangle. 

1. **The shortest side is half the length of the longest side.**
    - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.)
   
2. **The hypotenuse is \(\sqrt{2}\) times the length of each leg.**
    - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.)
    
3. **A square can be divided into two of them.**
    - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.)
    
4. **The hypotenuse is \(\sqrt{3}\) times the length of the longest leg.**
    - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.)

**Next Steps:**
- Click on "Next Question" to proceed.
- Click on "Ask for Help" if you need assistance with the current question.
Transcribed Image Text:**Educational Content on Triangles:** **Triangle Type Identification** Determine whether each of the following statements is true for a 30-60-90 triangle or a 45-45-90 triangle. 1. **The shortest side is half the length of the longest side.** - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.) 2. **The hypotenuse is \(\sqrt{2}\) times the length of each leg.** - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.) 3. **A square can be divided into two of them.** - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.) 4. **The hypotenuse is \(\sqrt{3}\) times the length of the longest leg.** - (Dropdown: Determine if this is true for a 30-60-90 triangle or a 45-45-90 triangle.) **Next Steps:** - Click on "Next Question" to proceed. - Click on "Ask for Help" if you need assistance with the current question.
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