Best Answer

circumscribed about

Q: The circumcenter of a triangle is the center of the only circle that can be it?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

True

true

incenter

Yes. The orthocenter is the intersection of the altitudes; the circumcenter is the intersection of the perpendicular bisectors of the three sides of the triangle. The perpendicular bisector of and altitude to a given side are parallel, so they can coincide at the common center only if they are the same; that means that the opposite vertex is on the perpendicular bisector, so the other two sides are equal. Thus each pair of sides are equal, so the triangle is equilateral.

It means just what is written. It is an image that contains both a circle and in inverted triangle. The inverted triangle is inside the circle. See below for an triangle examples. Below is a "normal triangle" has a wide base on the bottom of the image: (Disregard the "." characters. They are only there for spacing purposes.) ......./\ ....../_\ ...../__\ ..../___\ .../____\ ../_____\ ./______\ /_______\ Below is an "inverted triangle" has a wide base on the top of the image: (Disregard the "." characters. They are only there for spacing purposes.) _________ \ _______/ .\______/ ...\____/ ... \___/ ......\_/ .......\/

Related questions

True

False

Yes, it is.

true!

The CIRCUMCENTER would be the correct fill in the blank for apex 2022 good luck

no

Yes, there can be only one.

In short, the orthocenter really has no purpose. There are 4 points of Concurrency in Triangles: 1) The Centroid - the point of concurrency where the 3 medians of a triangle meet. This point is also the triangle's center of gravity. 2) The Circumcenter - the point of concurrency where the perpendicular bisectors of all three sides of the triangle meet. This point is the center of the triangle's circumscribed circle. 3) The Incenter - the point of concurrency where the angle bisectors of all three angles of the triangle meet. Like the circumcenter, the incenter is the center of the inscribed circle of a triangle. 4) The Orthocenter - the point of concurrency where the 3 altitudes of a triangle meet. Unlike the other three points of concurrency, the orthocenter is only there to show that altitudes are concurrent. Thus, bringing me back to the initial statement.

true

incenter

Yes, but only in an equilateral triangle.

Nah its infinite ways so false