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

Question

bonufazy [111]

3 years ago

13

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

Mathematics

2 answers:

Ratling [72] · Answer 1 · 2022-07-15T14:54:39+03:00

Ratling [72]3 years ago

6 0

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

ivolga24 [154] · Answer 2 · 2022-07-15T16:14:23+03:00

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.