Respuesta :
The statement that the shortest distance from the center of the circumscribed circle to the side of the inscribed triangle is the circle's radius is false.
How to find the radius of the circumscribed circle around a triangle?
The intersection of the perpendicular bisectors of any two sides(or all three sides if you want) is the center of the circumscribed circle for that triangle.
The length of that intersection point from any of the vertices of the triangle is the radius of the circumscribed circle of that triangle.
When a triangle is placed in a circle such that the side of the circle touch the circumference of the circle, then the circle is a circumscribed circle.
The line drawn from the center of the circle to the side of the triangle is the shortest possible line.
However, it is certain that this line is the radius.
This is so because the side of the triangle lie on the circumference of the circle
Hence, the statement that the shortest distance from the center of the circle is false.
Read more about circumscribed circle at:
brainly.com/question/2699432
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