Question

На двух рисунках покажите медианы и высоты в прямоугольном треугольнике

Answer 1

Медианы выходит из вершины и входит в центр противоположной стороны
высота выходит из вершины и образует с сторонами 90градусов

Answer 2

Showing Medians and Altitudes in a Right-Angled Triangle

In a right-angled triangle, the medians and altitudes have specific properties and can be shown in diagrams to illustrate their relationships.

Median in a Right-Angled Triangle: - The median in a right-angled triangle is a line segment drawn from a vertex to the midpoint of the opposite side. - In a right-angled triangle, the three medians intersect at a point called the centroid, which divides each median in a 2:1 ratio. - The median to the hypotenuse of a right-angled triangle is half the length of the hypotenuse.

Altitude in a Right-Angled Triangle: - The altitude in a right-angled triangle is a perpendicular line segment drawn from a vertex to the opposite side, forming a right angle. - The altitude to the hypotenuse of a right-angled triangle is the geometric mean between the segments of the hypotenuse.

Now, let's illustrate these properties in diagrams.

Median and Altitude Diagrams:

1. Median Diagram: - The median to the hypotenuse is half the length of the hypotenuse. - The three medians intersect at the centroid, dividing each median in a 2:1 ratio.


2. Altitude Diagram: - The altitude to the hypotenuse is the geometric mean between the segments of the hypotenuse.


These diagrams visually represent the properties of medians and altitudes in a right-angled triangle, showcasing their relationships and characteristics.

Feel free to ask if you have further questions or need additional information!