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Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
In order to circumscribe a circle in a triangle the circle's center must be placed at the incenter of the triangle?
False!
In order to inscribe a circle in a triangle the circle's center must be placed at the circumcenter of the triangle?
False
True or False The incenter of a triangle is the center of the only circle that can be inscribed in it.?
True, the definition of incenter is the point forming the origin of a circle within a triangle.Hopefully this helps :)
Is it true or false that in order to circumscribe a circle about a triangle the circles center must be placed at the in-center of the triangle?
It is FALSE.
Related Questions
In order to inscribe a circle in triangle the circles center must be placed at the incenter of the triangle?
That is correct
In order to inscribe a circle in a triangle the circles center must be placed at the circumcenter of the triangle?
No.
The INCENTER of a triangle is the center of the only circle that can be inscribed inside it?
Of course not! There are an infinite number of smaller circles.
What is incenter of triangle?
It is the center of the circle that is inscribed in the triangle.
Is the incenter of a triangle the center of the circle circumscribed about the triangle?
No.
Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
What is the blank of a triangle is the center of the circle inscribed in the triangle?
incenter
The circle's center must be placed at the incenter of the triangle?
No, there are two circles (incircle, circumcircle) associated with triangles and in general the locations of their centres are different.
If a circle is inscribed in a triangle the center of the circle is called the what of the triangle?
The circumcenter of the triangle.
The center of the circle that can be inscribed in a triangle is known as the?
Incenter (apex)
The of a triangle is the center of the only circle that can be inscribed inside it?
incenter
The incenter of a triangle is the center of the only circle that can be inscribed in it?
true
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