Theorem: If a triangle is a right triangle, then the median line on the hypotenuse of the triangle is equal to half of the hypotenuse.

Extended data

Its inverse theorem

1. If the midline of one side of a triangle is equal to half of this side, then this triangle is a right triangle and this side is the hypotenuse.

2. If the connecting line between a point on the hypotenuse of a right triangle and the vertex of the right triangle is equal to any one of the two line segments obtained by dividing the hypotenuse of the point, then the point is the midpoint of the hypotenuse.

In addition to the properties of general triangles, right-angled triangles have some special properties:

1, the sum of squares of two right angles of a right triangle is equal to the square of the hypotenuse (that is, Pythagorean theorem).

2. In a right triangle, two acute angles are complementary.

3. The product of two right angles of a right triangle is equal to the product of the hypotenuse and the height of the hypotenuse.

4. In a right triangle, if there is an acute angle equal to 30, then the right side it faces is equal to half of the hypotenuse.

5. Two right triangles divided by the height on the hypotenuse are similar to the original triangle.

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