True or False? The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is th
e circles radius
2 answers:
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.
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