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In geometry, what are the applications of the second-order conclusion of right triangle?
The second-order conclusion of right triangle is widely used in geometry. The following are some common applications:

1. Solving unknown side length: Using the properties of right triangle, we can solve some geometric problems related to right triangle, such as solving unknown side length and angle.

2. Prove the vertical relationship: The vertical relationship in a right triangle is an important property, and the vertical relationship between line segments can be proved by constructing a right triangle.

3. Using Pythagorean Theorem: Pythagorean Theorem is a basic theorem of right triangle, which can be used to solve the length of hypotenuse of right triangle, or to judge whether the length of three sides meets Pythagorean Theorem.

4. Using the proportional relation of similar triangles in similar triangles: right triangle, we can solve some problems related to proportion and similarity.

5. Using trigonometric functions: sine, cosine and tangent functions in right-angled triangles can be solved by constructing right-angled triangles. These functions are very useful in solving problems such as triangulation and trigonometric identities.

6. Use area and volume: The area and volume of a right triangle can be calculated by its base length and height, which is very useful in solving some problems related to the area and volume of plane graphics and three-dimensional graphics.

In a word, the second-order conclusion of right triangle is widely used in geometry, which can help us solve various geometric problems related to right triangle.