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The image shows a problem regarding a 30-60-90 triangle, which has the following properties:

- In a 30-60-90 triangle, the sides are in the ratio:
  - The shortest side (opposite the 30° angle) is \( s = 1 \).
  - The longer leg (opposite the 60° angle) is \( \sqrt{3} \).
  - The hypotenuse is \( 2 \).

From the diagram in the image, the side labeled "1" corresponds to the shortest leg. Using the properties of a 30-60-90 triangle, we can determine:
- Side \( s \) is \( 1 \).
- The hypotenuse \( h \) is \( 2 \).

Thus, the correct answer is **Option F**: \( 1; \sqrt{3} \).

Would you like more details or have any questions? Here are 5 related questions to expand your understanding:

1. How can you derive the side ratios for a 30-60-90 triangle?
2. Why are 30-60-90 triangles useful in trigonometry and geometry?
3. What is the relationship between a 30-60-90 triangle and an equilateral triangle?
4. How would you find the area of a 30-60-90 triangle given its shortest side?
5. Can you use trigonometric functions to verify the side lengths in a 30-60-90 triangle?

**Tip:** Memorizing the side ratios of special triangles (like 30-60-90) can save time during exams or quick problem-solving!

In the 30-60-90 triangle below, side s has a length of __, and the hypotenuse has a length of __.

Learn how to find the side lengths of a 30-60-90 triangle using the special triangle properties. This problem covers the side length ratios and their relationships in geometry. Suitable for students in Grades 9-12.

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