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The question in the image is asking about the properties of a 45°-45°-90° triangle, a special type of right triangle. Here's the breakdown of how to complete the statement:

"In a 45°-45°-90° triangle, the legs are always **equal**, and the hypotenuse is always **√2** times either leg."

### Explanation:
1. **Legs are equal**: In a 45°-45°-90° triangle, both angles are the same (45°), so the two legs opposite these angles are equal in length.
2. **Hypotenuse is √2 times a leg**: The ratio of the hypotenuse to each leg in this type of triangle is always √2:1. If the length of each leg is "x", the hypotenuse will have a length of \( x\sqrt{2} \).

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### Relative Questions:
1. How do you derive the length of the hypotenuse in a 45°-45°-90° triangle?
2. Can you explain the properties of a 30°-60°-90° triangle?
3. What is the Pythagorean theorem, and how does it apply to right triangles?
4. How can you determine the area of a 45°-45°-90° triangle?
5. How does the sine and cosine of 45° relate to this triangle?

### Tip:
Always remember the side ratios for special triangles like 45°-45°-90° and 30°-60°-90°. They make solving problems involving right triangles much easier!

In a 45°-45°-90° triangle, the legs are always __, and the hypotenuse is always __ times either leg.

Explore the properties of 45°-45°-90° triangles, including why the legs are always equal and the hypotenuse is √2 times a leg. Learn through detailed examples and visual aids how these triangles exemplify the Pythagorean theorem.

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