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The circumcenter of a triangle is the center of the only circle that can be it?
Wiki User
∙ 14y ago
circumscribed about
Wiki User
∙ 14y ago
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The circumcenter of a triangle is the center of the only circle that can be circumscribed about it?
True
The incenter of a triangle is the center of the only circle that can be inscribed in it?
true
The of a triangle is the center of the only circle that can be inscribed inside it?
incenter
If orthocentre and circumcentre of a triangle coincide then is it an equilateral triangle?
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.
What does an inverted triangle inside of a circle mean?
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.) _________ \ _______/ .\______/ ...\____/ ... \___/ ......\_/ .......\/
The circumcenter of a triangle is the center of the only circle that can be circumscribed about it?
True
The circumcenter of a triangle is the center of the only circle that can be inscribed about it?
False
Is the circumcenter of a triangle the center of the only circle that can be circumscribed?
Yes, it is.
True or False The circumcenter of a triangle is the center of the only circle that can be circumscribed about it.?
true!
The incenter of a triangle is the center of the only circle that can be circumscribed about it?
The CIRCUMCENTER would be the correct fill in the blank for apex 2022 good luck
The of a triangle is the center of the only circle that can be circumscribed about it.?
no
Is there only one circumcenter for the triangle?
Yes, there can be only one.
What is the purpose of an orthocenter?
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.
The incenter of a triangle is the center of the only circle that can be inscribed in it?
true
The of a triangle is the center of the only circle that can be inscribed inside it?
incenter
Can the orthocenter incenter centroid and circumcenter of a triangle all meet at the same point?
Yes, but only in an equilateral triangle.
Can the incenter of a triangle is the center of the only circle that can be circumscribed about it?
Nah its infinite ways so false
