нарисуй высоту и вписанную окружность в прямоугольном треугольнике 

Here is the diagram of a right-angled triangle with its height and the inscribed circle (incircle). If you have any questions or need further details, feel free to ask!

Here are five related questions to consider:
1. How do you calculate the radius of the inscribed circle in a right triangle?
2. What is the relationship between the area of the triangle and the radius of the inscribed circle?
3. How is the height of a right triangle related to its base and hypotenuse?
4. What are the properties of the circumcircle in a right triangle?
5. How do you determine the coordinates of the center of the incircle in a coordinate plane?

**Tip:** The radius of the incircle in a right triangle can be found using the formula \( r = \frac{a + b - c}{2} \), where \(a\), \(b\), and \(c\) are the sides of the triangle, and \(c\) is the hypotenuse.

Explore the concepts of height and the inscribed circle in a right triangle. Learn how to calculate the radius of the inscribed circle using the formula r = (a + b - c) / 2. Discover properties related to the height, base, and hypotenuse of right triangles. Suitable for advanced high school students.

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