Does the diagonal of a rectangle become the diameter of the circle
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Yes, the diagonal of any rectangle inscribed in a circle is a diameter of the circle. This follows from the converse of Thale's theorem.
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The diagonal splits the rectangle into two right triangles. These triangles are inscribed in the circle as well. By the converse of Thales' theorem, the hypotenuse of either of the triangles is a diameter of the circle. But the hypotenuse is also a diagonal of the rectangle.
Details:-
The diagonal splits the rectangle into two right triangles. These triangles are inscribed in the circle as well. By the converse of Thales' theorem, the hypotenuse of either of the triangles is a diameter of the circle. But the hypotenuse is also a diagonal of the rectangle.
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