In right-angled triangles, the hypotenuses and medians are, respectively, drawn to the hypotenuses

In right-angled triangles, the hypotenuses and medians are, respectively, drawn to the hypotenuses, are the triangles equal?

On the segment AB, as on the hypotenuse, we construct two right-angled triangles ABC and ABC1, and which medians OC = OC1.

Around triangles ABC and ABC1, we describe a circle in which the hypotenuse AB is the diameter of the circle, and the medians OS and OS1 are its radii.

On the arc ACB, you can place a set of points C, which will be the apex of the corner of a right triangle.

The resulting triangles ABCn are not equal in any sign of equality of right-angled triangles.

Answer: Right-angled triangles are not equal.



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