Question

True or False? The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius

Answer 1

Itis true The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius

Answer 2

Answer:

True, This is circumcentre point of triangle.

Step-by-step explanation:

The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius.

This is a circumcenter point of triangle whose distance from each vertex is same.

Circumcenter of triangle is a point of intersection of perpendicular bisector of the sides of triangle.

Please see the attachment.

If we draw a circle from a point circumcenter it will touches all three vertices of triangle.

The distance from centre of circle to point on circle is known as radius.

Thus, Statement is true.